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What is the Least Common Multiple of 64550 and 64559?

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 64550 and 64559 is 4167283450.

LCM(64550,64559) = 4167283450

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Least Common Multiple of 64550 and 64559 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64550 and 64559, than apply into the LCM equation.

GCF(64550,64559) = 1
LCM(64550,64559) = ( 64550 × 64559) / 1
LCM(64550,64559) = 4167283450 / 1
LCM(64550,64559) = 4167283450

Least Common Multiple (LCM) of 64550 and 64559 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64550 and 64559. First we will calculate the prime factors of 64550 and 64559.

Prime Factorization of 64550

Prime factors of 64550 are 2, 5, 1291. Prime factorization of 64550 in exponential form is:

64550 = 21 × 52 × 12911

Prime Factorization of 64559

Prime factors of 64559 are 11, 5869. Prime factorization of 64559 in exponential form is:

64559 = 111 × 58691

Now multiplying the highest exponent prime factors to calculate the LCM of 64550 and 64559.

LCM(64550,64559) = 21 × 52 × 12911 × 111 × 58691
LCM(64550,64559) = 4167283450