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What is the Least Common Multiple of 60670 and 60684?

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 60670 and 60684 is 1840849140.

LCM(60670,60684) = 1840849140

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Least Common Multiple of 60670 and 60684 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60670 and 60684, than apply into the LCM equation.

GCF(60670,60684) = 2
LCM(60670,60684) = ( 60670 × 60684) / 2
LCM(60670,60684) = 3681698280 / 2
LCM(60670,60684) = 1840849140

Least Common Multiple (LCM) of 60670 and 60684 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60670 and 60684. First we will calculate the prime factors of 60670 and 60684.

Prime Factorization of 60670

Prime factors of 60670 are 2, 5, 6067. Prime factorization of 60670 in exponential form is:

60670 = 21 × 51 × 60671

Prime Factorization of 60684

Prime factors of 60684 are 2, 3, 13, 389. Prime factorization of 60684 in exponential form is:

60684 = 22 × 31 × 131 × 3891

Now multiplying the highest exponent prime factors to calculate the LCM of 60670 and 60684.

LCM(60670,60684) = 22 × 51 × 60671 × 31 × 131 × 3891
LCM(60670,60684) = 1840849140