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What is the Least Common Multiple of 67717 and 67728?

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 67717 and 67728 is 4586336976.

LCM(67717,67728) = 4586336976

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Least Common Multiple of 67717 and 67728 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67717 and 67728, than apply into the LCM equation.

GCF(67717,67728) = 1
LCM(67717,67728) = ( 67717 × 67728) / 1
LCM(67717,67728) = 4586336976 / 1
LCM(67717,67728) = 4586336976

Least Common Multiple (LCM) of 67717 and 67728 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67717 and 67728. First we will calculate the prime factors of 67717 and 67728.

Prime Factorization of 67717

Prime factors of 67717 are 13, 5209. Prime factorization of 67717 in exponential form is:

67717 = 131 × 52091

Prime Factorization of 67728

Prime factors of 67728 are 2, 3, 17, 83. Prime factorization of 67728 in exponential form is:

67728 = 24 × 31 × 171 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 67717 and 67728.

LCM(67717,67728) = 131 × 52091 × 24 × 31 × 171 × 831
LCM(67717,67728) = 4586336976