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What is the Least Common Multiple of 56054 and 56060?

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 56054 and 56060 is 1571193620.

LCM(56054,56060) = 1571193620

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Least Common Multiple of 56054 and 56060 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56054 and 56060, than apply into the LCM equation.

GCF(56054,56060) = 2
LCM(56054,56060) = ( 56054 × 56060) / 2
LCM(56054,56060) = 3142387240 / 2
LCM(56054,56060) = 1571193620

Least Common Multiple (LCM) of 56054 and 56060 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56054 and 56060. First we will calculate the prime factors of 56054 and 56060.

Prime Factorization of 56054

Prime factors of 56054 are 2, 28027. Prime factorization of 56054 in exponential form is:

56054 = 21 × 280271

Prime Factorization of 56060

Prime factors of 56060 are 2, 5, 2803. Prime factorization of 56060 in exponential form is:

56060 = 22 × 51 × 28031

Now multiplying the highest exponent prime factors to calculate the LCM of 56054 and 56060.

LCM(56054,56060) = 22 × 280271 × 51 × 28031
LCM(56054,56060) = 1571193620