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What is the Least Common Multiple of 60718 and 60730?

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 60718 and 60730 is 1843702070.

LCM(60718,60730) = 1843702070

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Least Common Multiple of 60718 and 60730 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60718 and 60730, than apply into the LCM equation.

GCF(60718,60730) = 2
LCM(60718,60730) = ( 60718 × 60730) / 2
LCM(60718,60730) = 3687404140 / 2
LCM(60718,60730) = 1843702070

Least Common Multiple (LCM) of 60718 and 60730 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60718 and 60730. First we will calculate the prime factors of 60718 and 60730.

Prime Factorization of 60718

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

60718 = 21 × 71 × 43371

Prime Factorization of 60730

Prime factors of 60730 are 2, 5, 6073. Prime factorization of 60730 in exponential form is:

60730 = 21 × 51 × 60731

Now multiplying the highest exponent prime factors to calculate the LCM of 60718 and 60730.

LCM(60718,60730) = 21 × 71 × 43371 × 51 × 60731
LCM(60718,60730) = 1843702070