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What is the Least Common Multiple of 64274 and 64289?

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 64274 and 64289 is 4132111186.

LCM(64274,64289) = 4132111186

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Least Common Multiple of 64274 and 64289 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64274 and 64289, than apply into the LCM equation.

GCF(64274,64289) = 1
LCM(64274,64289) = ( 64274 × 64289) / 1
LCM(64274,64289) = 4132111186 / 1
LCM(64274,64289) = 4132111186

Least Common Multiple (LCM) of 64274 and 64289 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64274 and 64289. First we will calculate the prime factors of 64274 and 64289.

Prime Factorization of 64274

Prime factors of 64274 are 2, 7, 4591. Prime factorization of 64274 in exponential form is:

64274 = 21 × 71 × 45911

Prime Factorization of 64289

Prime factors of 64289 are 53, 1213. Prime factorization of 64289 in exponential form is:

64289 = 531 × 12131

Now multiplying the highest exponent prime factors to calculate the LCM of 64274 and 64289.

LCM(64274,64289) = 21 × 71 × 45911 × 531 × 12131
LCM(64274,64289) = 4132111186