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What is the Least Common Multiple of 64186 and 64190?

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 64186 and 64190 is 2060049670.

LCM(64186,64190) = 2060049670

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Least Common Multiple of 64186 and 64190 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64186 and 64190, than apply into the LCM equation.

GCF(64186,64190) = 2
LCM(64186,64190) = ( 64186 × 64190) / 2
LCM(64186,64190) = 4120099340 / 2
LCM(64186,64190) = 2060049670

Least Common Multiple (LCM) of 64186 and 64190 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64186 and 64190. First we will calculate the prime factors of 64186 and 64190.

Prime Factorization of 64186

Prime factors of 64186 are 2, 67, 479. Prime factorization of 64186 in exponential form is:

64186 = 21 × 671 × 4791

Prime Factorization of 64190

Prime factors of 64190 are 2, 5, 7, 131. Prime factorization of 64190 in exponential form is:

64190 = 21 × 51 × 72 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 64186 and 64190.

LCM(64186,64190) = 21 × 671 × 4791 × 51 × 72 × 1311
LCM(64186,64190) = 2060049670