LCM for 77 and 176

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What's the Least Common Multiple (LCM) of 77 and 176?

Answer

LCM of 77 and 176 is
1,232

(One thousand two hundred thirty-two)

Finding LCM for 77 and 176 using GCF of these numbers

The first method to find LCM for numbers 77 and 176 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 77 and 176 is 11, so

LCM = (77 × 176) ÷ 11

LCM = 13,552 ÷ 11

LCM = 1,232

Finding LCM for 77 and 176 by Listing Multiples

The second method to find LCM for numbers 77 and 176 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 77: 77, 154, 231, 308, 385, 462, 539, 616, 693, 770, 847, 924, 1001, 1078, 1155, 1232, 1309, 1386

Multiples of 176: 176, 352, 528, 704, 880, 1056, 1232, 1408, 1584

So the LCM for 77 and 176 is 1,232

Finding LCM for 77 and 176 by Prime Factorization

Another method to find LCM for numbers 77 and 176 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 77: 7, 11 (exponent form: 71, 111)

All Prime Factors of 176: 2, 2, 2, 2, 11 (exponent form: 24, 111)

71 × 111 × 24 = 1,232

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 77 and 176? (The answer is: 1,232). Select the first number (e.g. '77') and the second number (e.g. '176'). 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
Recalculate with different values ↑

LCM Table

Number 1Number 2LCM
771611,771
7716212,474
7716312,551
7716412,628
771651,155
7716612,782
7716712,859
771681,848
7716913,013
7717013,090
7717113,167
7717213,244
7717313,321
7717413,398
771751,925
771761,232
7717713,629
7717813,706
7717913,783
7718013,860
7718113,937
771822,002
7718314,091
7718414,168
7718514,245
7718614,322
771871,309
7718814,476
771892,079
7719014,630

FAQ

What's the Least Common Multiple (LCM) of 77 and 176?

LCM of 77 and 176 is 1,232

How to find the LCM of 77 and 176 using prime factorization?

To find the LCM of 77 and 176, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,232.

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 77 and 176: LCM = 1,232, GCF = 11.

See Also