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What is the Least Common Multiple of 64632 and 64649?

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 64632 and 64649 is 4178394168.

LCM(64632,64649) = 4178394168

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Least Common Multiple of 64632 and 64649 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64632 and 64649, than apply into the LCM equation.

GCF(64632,64649) = 1
LCM(64632,64649) = ( 64632 × 64649) / 1
LCM(64632,64649) = 4178394168 / 1
LCM(64632,64649) = 4178394168

Least Common Multiple (LCM) of 64632 and 64649 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64632 and 64649. First we will calculate the prime factors of 64632 and 64649.

Prime Factorization of 64632

Prime factors of 64632 are 2, 3, 2693. Prime factorization of 64632 in exponential form is:

64632 = 23 × 31 × 26931

Prime Factorization of 64649

Prime factors of 64649 are 13, 4973. Prime factorization of 64649 in exponential form is:

64649 = 131 × 49731

Now multiplying the highest exponent prime factors to calculate the LCM of 64632 and 64649.

LCM(64632,64649) = 23 × 31 × 26931 × 131 × 49731
LCM(64632,64649) = 4178394168