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What is the Least Common Multiple of 54735 and 54751?

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 54735 and 54751 is 2996795985.

LCM(54735,54751) = 2996795985

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Least Common Multiple of 54735 and 54751 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54735 and 54751, than apply into the LCM equation.

GCF(54735,54751) = 1
LCM(54735,54751) = ( 54735 × 54751) / 1
LCM(54735,54751) = 2996795985 / 1
LCM(54735,54751) = 2996795985

Least Common Multiple (LCM) of 54735 and 54751 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54735 and 54751. First we will calculate the prime factors of 54735 and 54751.

Prime Factorization of 54735

Prime factors of 54735 are 3, 5, 41, 89. Prime factorization of 54735 in exponential form is:

54735 = 31 × 51 × 411 × 891

Prime Factorization of 54751

Prime factors of 54751 are 54751. Prime factorization of 54751 in exponential form is:

54751 = 547511

Now multiplying the highest exponent prime factors to calculate the LCM of 54735 and 54751.

LCM(54735,54751) = 31 × 51 × 411 × 891 × 547511
LCM(54735,54751) = 2996795985