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What is the Least Common Multiple of 60688 and 60708?

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 60688 and 60708 is 921061776.

LCM(60688,60708) = 921061776

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Least Common Multiple of 60688 and 60708 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60688 and 60708, than apply into the LCM equation.

GCF(60688,60708) = 4
LCM(60688,60708) = ( 60688 × 60708) / 4
LCM(60688,60708) = 3684247104 / 4
LCM(60688,60708) = 921061776

Least Common Multiple (LCM) of 60688 and 60708 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60688 and 60708. First we will calculate the prime factors of 60688 and 60708.

Prime Factorization of 60688

Prime factors of 60688 are 2, 3793. Prime factorization of 60688 in exponential form is:

60688 = 24 × 37931

Prime Factorization of 60708

Prime factors of 60708 are 2, 3, 5059. Prime factorization of 60708 in exponential form is:

60708 = 22 × 31 × 50591

Now multiplying the highest exponent prime factors to calculate the LCM of 60688 and 60708.

LCM(60688,60708) = 24 × 37931 × 31 × 50591
LCM(60688,60708) = 921061776