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What is the Least Common Multiple of 54735 and 54754?

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 54754 is 2996960190.

LCM(54735,54754) = 2996960190

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Least Common Multiple of 54735 and 54754 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 54754, than apply into the LCM equation.

GCF(54735,54754) = 1
LCM(54735,54754) = ( 54735 × 54754) / 1
LCM(54735,54754) = 2996960190 / 1
LCM(54735,54754) = 2996960190

Least Common Multiple (LCM) of 54735 and 54754 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54735 and 54754. First we will calculate the prime factors of 54735 and 54754.

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 54754

Prime factors of 54754 are 2, 7, 3911. Prime factorization of 54754 in exponential form is:

54754 = 21 × 71 × 39111

Now multiplying the highest exponent prime factors to calculate the LCM of 54735 and 54754.

LCM(54735,54754) = 31 × 51 × 411 × 891 × 21 × 71 × 39111
LCM(54735,54754) = 2996960190