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What is the Least Common Multiple of 66294 and 66299?

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 66294 and 66299 is 4395225906.

LCM(66294,66299) = 4395225906

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Least Common Multiple of 66294 and 66299 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66294 and 66299, than apply into the LCM equation.

GCF(66294,66299) = 1
LCM(66294,66299) = ( 66294 × 66299) / 1
LCM(66294,66299) = 4395225906 / 1
LCM(66294,66299) = 4395225906

Least Common Multiple (LCM) of 66294 and 66299 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66294 and 66299. First we will calculate the prime factors of 66294 and 66299.

Prime Factorization of 66294

Prime factors of 66294 are 2, 3, 29, 127. Prime factorization of 66294 in exponential form is:

66294 = 21 × 32 × 291 × 1271

Prime Factorization of 66299

Prime factors of 66299 are 167, 397. Prime factorization of 66299 in exponential form is:

66299 = 1671 × 3971

Now multiplying the highest exponent prime factors to calculate the LCM of 66294 and 66299.

LCM(66294,66299) = 21 × 32 × 291 × 1271 × 1671 × 3971
LCM(66294,66299) = 4395225906