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What is the Least Common Multiple of 54124 and 54136?

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 54124 and 54136 is 732514216.

LCM(54124,54136) = 732514216

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Least Common Multiple of 54124 and 54136 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54124 and 54136, than apply into the LCM equation.

GCF(54124,54136) = 4
LCM(54124,54136) = ( 54124 × 54136) / 4
LCM(54124,54136) = 2930056864 / 4
LCM(54124,54136) = 732514216

Least Common Multiple (LCM) of 54124 and 54136 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54124 and 54136. First we will calculate the prime factors of 54124 and 54136.

Prime Factorization of 54124

Prime factors of 54124 are 2, 7, 1933. Prime factorization of 54124 in exponential form is:

54124 = 22 × 71 × 19331

Prime Factorization of 54136

Prime factors of 54136 are 2, 67, 101. Prime factorization of 54136 in exponential form is:

54136 = 23 × 671 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 54124 and 54136.

LCM(54124,54136) = 23 × 71 × 19331 × 671 × 1011
LCM(54124,54136) = 732514216