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What is the Least Common Multiple of 54977 and 54988?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 54977 and 54988 is 3023075276.

LCM(54977,54988) = 3023075276

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Least Common Multiple of 54977 and 54988 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54977 and 54988, than apply into the LCM equation.

GCF(54977,54988) = 1
LCM(54977,54988) = ( 54977 × 54988) / 1
LCM(54977,54988) = 3023075276 / 1
LCM(54977,54988) = 3023075276

Least Common Multiple (LCM) of 54977 and 54988 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54977 and 54988. First we will calculate the prime factors of 54977 and 54988.

Prime Factorization of 54977

Prime factors of 54977 are 13, 4229. Prime factorization of 54977 in exponential form is:

54977 = 131 × 42291

Prime Factorization of 54988

Prime factors of 54988 are 2, 59, 233. Prime factorization of 54988 in exponential form is:

54988 = 22 × 591 × 2331

Now multiplying the highest exponent prime factors to calculate the LCM of 54977 and 54988.

LCM(54977,54988) = 131 × 42291 × 22 × 591 × 2331
LCM(54977,54988) = 3023075276