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What is the Least Common Multiple of 66862 and 66875?

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 66862 and 66875 is 4471396250.

LCM(66862,66875) = 4471396250

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Least Common Multiple of 66862 and 66875 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66862 and 66875, than apply into the LCM equation.

GCF(66862,66875) = 1
LCM(66862,66875) = ( 66862 × 66875) / 1
LCM(66862,66875) = 4471396250 / 1
LCM(66862,66875) = 4471396250

Least Common Multiple (LCM) of 66862 and 66875 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66862 and 66875. First we will calculate the prime factors of 66862 and 66875.

Prime Factorization of 66862

Prime factors of 66862 are 2, 101, 331. Prime factorization of 66862 in exponential form is:

66862 = 21 × 1011 × 3311

Prime Factorization of 66875

Prime factors of 66875 are 5, 107. Prime factorization of 66875 in exponential form is:

66875 = 54 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 66862 and 66875.

LCM(66862,66875) = 21 × 1011 × 3311 × 54 × 1071
LCM(66862,66875) = 4471396250