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What is the Least Common Multiple of 56653 and 56672?

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 56653 and 56672 is 3210638816.

LCM(56653,56672) = 3210638816

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Least Common Multiple of 56653 and 56672 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56653 and 56672, than apply into the LCM equation.

GCF(56653,56672) = 1
LCM(56653,56672) = ( 56653 × 56672) / 1
LCM(56653,56672) = 3210638816 / 1
LCM(56653,56672) = 3210638816

Least Common Multiple (LCM) of 56653 and 56672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56653 and 56672. First we will calculate the prime factors of 56653 and 56672.

Prime Factorization of 56653

Prime factors of 56653 are 181, 313. Prime factorization of 56653 in exponential form is:

56653 = 1811 × 3131

Prime Factorization of 56672

Prime factors of 56672 are 2, 7, 11, 23. Prime factorization of 56672 in exponential form is:

56672 = 25 × 71 × 111 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 56653 and 56672.

LCM(56653,56672) = 1811 × 3131 × 25 × 71 × 111 × 231
LCM(56653,56672) = 3210638816