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What is the Least Common Multiple of 64196 and 64200?

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 64196 and 64200 is 1030345800.

LCM(64196,64200) = 1030345800

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Least Common Multiple of 64196 and 64200 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64196 and 64200, than apply into the LCM equation.

GCF(64196,64200) = 4
LCM(64196,64200) = ( 64196 × 64200) / 4
LCM(64196,64200) = 4121383200 / 4
LCM(64196,64200) = 1030345800

Least Common Multiple (LCM) of 64196 and 64200 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64196 and 64200. First we will calculate the prime factors of 64196 and 64200.

Prime Factorization of 64196

Prime factors of 64196 are 2, 11, 1459. Prime factorization of 64196 in exponential form is:

64196 = 22 × 111 × 14591

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

Now multiplying the highest exponent prime factors to calculate the LCM of 64196 and 64200.

LCM(64196,64200) = 23 × 111 × 14591 × 31 × 52 × 1071
LCM(64196,64200) = 1030345800