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What is the Least Common Multiple of 65670 and 65675?

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 65670 and 65675 is 862575450.

LCM(65670,65675) = 862575450

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Least Common Multiple of 65670 and 65675 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65670 and 65675, than apply into the LCM equation.

GCF(65670,65675) = 5
LCM(65670,65675) = ( 65670 × 65675) / 5
LCM(65670,65675) = 4312877250 / 5
LCM(65670,65675) = 862575450

Least Common Multiple (LCM) of 65670 and 65675 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65670 and 65675. First we will calculate the prime factors of 65670 and 65675.

Prime Factorization of 65670

Prime factors of 65670 are 2, 3, 5, 11, 199. Prime factorization of 65670 in exponential form is:

65670 = 21 × 31 × 51 × 111 × 1991

Prime Factorization of 65675

Prime factors of 65675 are 5, 37, 71. Prime factorization of 65675 in exponential form is:

65675 = 52 × 371 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 65670 and 65675.

LCM(65670,65675) = 21 × 31 × 52 × 111 × 1991 × 371 × 711
LCM(65670,65675) = 862575450