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What is the Least Common Multiple of 64198 and 64213?

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 64198 and 64213 is 4122346174.

LCM(64198,64213) = 4122346174

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Least Common Multiple of 64198 and 64213 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64198 and 64213, than apply into the LCM equation.

GCF(64198,64213) = 1
LCM(64198,64213) = ( 64198 × 64213) / 1
LCM(64198,64213) = 4122346174 / 1
LCM(64198,64213) = 4122346174

Least Common Multiple (LCM) of 64198 and 64213 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64198 and 64213. First we will calculate the prime factors of 64198 and 64213.

Prime Factorization of 64198

Prime factors of 64198 are 2, 32099. Prime factorization of 64198 in exponential form is:

64198 = 21 × 320991

Prime Factorization of 64213

Prime factors of 64213 are 157, 409. Prime factorization of 64213 in exponential form is:

64213 = 1571 × 4091

Now multiplying the highest exponent prime factors to calculate the LCM of 64198 and 64213.

LCM(64198,64213) = 21 × 320991 × 1571 × 4091
LCM(64198,64213) = 4122346174