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What is the Least Common Multiple of 64736 and 64752?

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 64736 and 64752 is 261986592.

LCM(64736,64752) = 261986592

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Least Common Multiple of 64736 and 64752 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64736 and 64752, than apply into the LCM equation.

GCF(64736,64752) = 16
LCM(64736,64752) = ( 64736 × 64752) / 16
LCM(64736,64752) = 4191785472 / 16
LCM(64736,64752) = 261986592

Least Common Multiple (LCM) of 64736 and 64752 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64736 and 64752. First we will calculate the prime factors of 64736 and 64752.

Prime Factorization of 64736

Prime factors of 64736 are 2, 7, 17. Prime factorization of 64736 in exponential form is:

64736 = 25 × 71 × 172

Prime Factorization of 64752

Prime factors of 64752 are 2, 3, 19, 71. Prime factorization of 64752 in exponential form is:

64752 = 24 × 31 × 191 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 64736 and 64752.

LCM(64736,64752) = 25 × 71 × 172 × 31 × 191 × 711
LCM(64736,64752) = 261986592