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What is the Least Common Multiple of 64617 and 64626?

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 64617 and 64626 is 1391979414.

LCM(64617,64626) = 1391979414

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Least Common Multiple of 64617 and 64626 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64617 and 64626, than apply into the LCM equation.

GCF(64617,64626) = 3
LCM(64617,64626) = ( 64617 × 64626) / 3
LCM(64617,64626) = 4175938242 / 3
LCM(64617,64626) = 1391979414

Least Common Multiple (LCM) of 64617 and 64626 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64617 and 64626. First we will calculate the prime factors of 64617 and 64626.

Prime Factorization of 64617

Prime factors of 64617 are 3, 7, 17, 181. Prime factorization of 64617 in exponential form is:

64617 = 31 × 71 × 171 × 1811

Prime Factorization of 64626

Prime factors of 64626 are 2, 3, 10771. Prime factorization of 64626 in exponential form is:

64626 = 21 × 31 × 107711

Now multiplying the highest exponent prime factors to calculate the LCM of 64617 and 64626.

LCM(64617,64626) = 31 × 71 × 171 × 1811 × 21 × 107711
LCM(64617,64626) = 1391979414