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What is the Least Common Multiple of 59722 and 59727?

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 59722 and 59727 is 3567015894.

LCM(59722,59727) = 3567015894

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Least Common Multiple of 59722 and 59727 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59722 and 59727, than apply into the LCM equation.

GCF(59722,59727) = 1
LCM(59722,59727) = ( 59722 × 59727) / 1
LCM(59722,59727) = 3567015894 / 1
LCM(59722,59727) = 3567015894

Least Common Multiple (LCM) of 59722 and 59727 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59722 and 59727. First we will calculate the prime factors of 59722 and 59727.

Prime Factorization of 59722

Prime factors of 59722 are 2, 13, 2297. Prime factorization of 59722 in exponential form is:

59722 = 21 × 131 × 22971

Prime Factorization of 59727

Prime factors of 59727 are 3, 43, 463. Prime factorization of 59727 in exponential form is:

59727 = 31 × 431 × 4631

Now multiplying the highest exponent prime factors to calculate the LCM of 59722 and 59727.

LCM(59722,59727) = 21 × 131 × 22971 × 31 × 431 × 4631
LCM(59722,59727) = 3567015894