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What is the Least Common Multiple of 60707 and 60718?

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 60707 and 60718 is 3686007626.

LCM(60707,60718) = 3686007626

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Least Common Multiple of 60707 and 60718 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60707 and 60718, than apply into the LCM equation.

GCF(60707,60718) = 1
LCM(60707,60718) = ( 60707 × 60718) / 1
LCM(60707,60718) = 3686007626 / 1
LCM(60707,60718) = 3686007626

Least Common Multiple (LCM) of 60707 and 60718 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60707 and 60718. First we will calculate the prime factors of 60707 and 60718.

Prime Factorization of 60707

Prime factors of 60707 are 17, 3571. Prime factorization of 60707 in exponential form is:

60707 = 171 × 35711

Prime Factorization of 60718

Prime factors of 60718 are 2, 7, 4337. Prime factorization of 60718 in exponential form is:

60718 = 21 × 71 × 43371

Now multiplying the highest exponent prime factors to calculate the LCM of 60707 and 60718.

LCM(60707,60718) = 171 × 35711 × 21 × 71 × 43371
LCM(60707,60718) = 3686007626