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What is the Least Common Multiple of 64200 and 64207?

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 64200 and 64207 is 4122089400.

LCM(64200,64207) = 4122089400

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Least Common Multiple of 64200 and 64207 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64200 and 64207, than apply into the LCM equation.

GCF(64200,64207) = 1
LCM(64200,64207) = ( 64200 × 64207) / 1
LCM(64200,64207) = 4122089400 / 1
LCM(64200,64207) = 4122089400

Least Common Multiple (LCM) of 64200 and 64207 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64200 and 64207. First we will calculate the prime factors of 64200 and 64207.

Prime Factorization of 64200

Prime factors of 64200 are 2, 3, 5, 107. Prime factorization of 64200 in exponential form is:

64200 = 23 × 31 × 52 × 1071

Prime Factorization of 64207

Prime factors of 64207 are 11, 13, 449. Prime factorization of 64207 in exponential form is:

64207 = 111 × 131 × 4491

Now multiplying the highest exponent prime factors to calculate the LCM of 64200 and 64207.

LCM(64200,64207) = 23 × 31 × 52 × 1071 × 111 × 131 × 4491
LCM(64200,64207) = 4122089400