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What is the Least Common Multiple of 79522 and 79526?

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 79522 and 79526 is 3162033286.

LCM(79522,79526) = 3162033286

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Least Common Multiple of 79522 and 79526 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79522 and 79526, than apply into the LCM equation.

GCF(79522,79526) = 2
LCM(79522,79526) = ( 79522 × 79526) / 2
LCM(79522,79526) = 6324066572 / 2
LCM(79522,79526) = 3162033286

Least Common Multiple (LCM) of 79522 and 79526 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79522 and 79526. First we will calculate the prime factors of 79522 and 79526.

Prime Factorization of 79522

Prime factors of 79522 are 2, 39761. Prime factorization of 79522 in exponential form is:

79522 = 21 × 397611

Prime Factorization of 79526

Prime factors of 79526 are 2, 17, 2339. Prime factorization of 79526 in exponential form is:

79526 = 21 × 171 × 23391

Now multiplying the highest exponent prime factors to calculate the LCM of 79522 and 79526.

LCM(79522,79526) = 21 × 397611 × 171 × 23391
LCM(79522,79526) = 3162033286