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What is the Least Common Multiple of 60559 and 60572?

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 60559 and 60572 is 3668179748.

LCM(60559,60572) = 3668179748

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Least Common Multiple of 60559 and 60572 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60559 and 60572, than apply into the LCM equation.

GCF(60559,60572) = 1
LCM(60559,60572) = ( 60559 × 60572) / 1
LCM(60559,60572) = 3668179748 / 1
LCM(60559,60572) = 3668179748

Least Common Multiple (LCM) of 60559 and 60572 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60559 and 60572. First we will calculate the prime factors of 60559 and 60572.

Prime Factorization of 60559

Prime factors of 60559 are 23, 2633. Prime factorization of 60559 in exponential form is:

60559 = 231 × 26331

Prime Factorization of 60572

Prime factors of 60572 are 2, 19, 797. Prime factorization of 60572 in exponential form is:

60572 = 22 × 191 × 7971

Now multiplying the highest exponent prime factors to calculate the LCM of 60559 and 60572.

LCM(60559,60572) = 231 × 26331 × 22 × 191 × 7971
LCM(60559,60572) = 3668179748