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What is the Least Common Multiple of 68720 and 68728?

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 68720 and 68728 is 590373520.

LCM(68720,68728) = 590373520

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Least Common Multiple of 68720 and 68728 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68720 and 68728, than apply into the LCM equation.

GCF(68720,68728) = 8
LCM(68720,68728) = ( 68720 × 68728) / 8
LCM(68720,68728) = 4722988160 / 8
LCM(68720,68728) = 590373520

Least Common Multiple (LCM) of 68720 and 68728 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68720 and 68728. First we will calculate the prime factors of 68720 and 68728.

Prime Factorization of 68720

Prime factors of 68720 are 2, 5, 859. Prime factorization of 68720 in exponential form is:

68720 = 24 × 51 × 8591

Prime Factorization of 68728

Prime factors of 68728 are 2, 11, 71. Prime factorization of 68728 in exponential form is:

68728 = 23 × 112 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 68720 and 68728.

LCM(68720,68728) = 24 × 51 × 8591 × 112 × 711
LCM(68720,68728) = 590373520