LCM for 90 and 345

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 90 and 345?

Answer

LCM of 90 and 345 is 2,070

(Two thousand, seventy)

Finding LCM for 90 and 345 using GCF of these numbers

The first method to find LCM for numbers 90 and 345 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 90 and 345 is 15, so

LCM = (90 × 345) ÷ 15

LCM = 31050 ÷ 15

LCM = 2070

Finding LCM for 90 and 345 by Listing Multiples

The second method to find LCM for numbers 90 and 345 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 90: 90, 180, 270, 360, 450, 540, 630, 720, 810, 900, 990, 1080, 1170, 1260, 1350, 1440, 1530, 1620, 1710, 1800, 1890, 1980, 2070, 2160, 2250

Multiples of 345: 345, 690, 1035, 1380, 1725, 2070, 2415, 2760

So the LCM for 90 and 345 is 2070

Finding LCM for 90 and 345 by Prime Factorization

Another method to find LCM for numbers 90 and 345 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 90: 2, 3, 3, 5 (exponent form: 21, 32, 51)

All Prime Factors of 345: 3, 5, 23 (exponent form: 31, 51, 231)

21 × 32 × 51 × 231 = 2070

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 90 and 345? (The answer is: 2070). Select the first number (e.g. '90') and the second number (e.g. '345'). 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
753451725
7634526220
7734526565
783458970
7934527255
803455520
813459315
8234528290
8334528635
843459660
853455865
8634529670
8734510005
8834530360
8934530705
903452070
9134531395
923451380
9334510695
9434532430
953456555
9634511040
9734533465
9834533810
9934511385
1003456900
10134534845
10234511730
10334535535
10434535880

FAQ

What's the Least Common Multiple (LCM) of 90 and 345?

LCM of 90 and 345 is 2,070

How to find the LCM of 90 and 345 using prime factorization?

To find the LCM of 90 and 345, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 2,070.

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 90 and 345: LCM = 2,070, GCF = 15.

See Also