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What is the Least Common Multiple of 59651 and 59671?

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 59651 and 59671 is 3559434821.

LCM(59651,59671) = 3559434821

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Least Common Multiple of 59651 and 59671 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59651 and 59671, than apply into the LCM equation.

GCF(59651,59671) = 1
LCM(59651,59671) = ( 59651 × 59671) / 1
LCM(59651,59671) = 3559434821 / 1
LCM(59651,59671) = 3559434821

Least Common Multiple (LCM) of 59651 and 59671 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59651 and 59671. First we will calculate the prime factors of 59651 and 59671.

Prime Factorization of 59651

Prime factors of 59651 are 59651. Prime factorization of 59651 in exponential form is:

59651 = 596511

Prime Factorization of 59671

Prime factors of 59671 are 59671. Prime factorization of 59671 in exponential form is:

59671 = 596711

Now multiplying the highest exponent prime factors to calculate the LCM of 59651 and 59671.

LCM(59651,59671) = 596511 × 596711
LCM(59651,59671) = 3559434821