LCM for 680 and 612

"Least Common Multiple" Calculator
Least Common Multiple of
and

What's the Least Common Multiple (LCM) of 680 and 612?

Answer

LCM of 680 and 612 is
6,120

(Six thousand one hundred twenty)

Finding LCM for 680 and 612 using GCF of these numbers

The first method to find LCM for numbers 680 and 612 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 680 and 612 is 68, so

LCM = (680 × 612) ÷ 68

LCM = 416,160 ÷ 68

LCM = 6,120

Finding LCM for 680 and 612 by Listing Multiples

The second method to find LCM for numbers 680 and 612 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 680: 680, 1360, 2040, 2720, 3400, 4080, 4760, 5440, 6120, 6800, 7480

Multiples of 612: 612, 1224, 1836, 2448, 3060, 3672, 4284, 4896, 5508, 6120, 6732, 7344

So the LCM for 680 and 612 is 6,120

Finding LCM for 680 and 612 by Prime Factorization

Another method to find LCM for numbers 680 and 612 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 680: 2, 2, 2, 5, 17 (exponent form: 23, 51, 171)

All Prime Factors of 612: 2, 2, 3, 3, 17 (exponent form: 22, 32, 171)

23 × 51 × 171 × 32 = 6,120

Related Calculations

See Also

About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 680 and 612? (The answer is: 6,120). Select the first number (e.g. '680') and the second number (e.g. '612'). After that hit the 'Calculate' button.
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers
"Least Common Multiple" Calculator
Least Common Multiple of
and

LCM Table

Number 1Number 2LCM
680597405,960
680598203,320
680599407,320
68060010,200
680601408,680
680602204,680
680603410,040
680604102,680
68060582,280
680606206,040
680607412,760
68060851,680
680609414,120
68061041,480
680611415,480
6806126,120
680613416,840
680614208,760
68061583,640
68061652,360
680617419,560
680618210,120
680619420,920
68062021,080
680621422,280
680622211,480
680623423,640
68062453,040
68062585,000
680626212,840

FAQ

What's the Least Common Multiple (LCM) of 680 and 612?

LCM of 680 and 612 is 6,120

How to find the LCM of 680 and 612 using prime factorization?

To find the LCM of 680 and 612, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 6,120.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 680 and 612: LCM = 6,120, GCF = 68.

See Also