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What is the Least Common Multiple of 60418 and 60425?

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 60418 and 60425 is 3650757650.

LCM(60418,60425) = 3650757650

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Least Common Multiple of 60418 and 60425 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60418 and 60425, than apply into the LCM equation.

GCF(60418,60425) = 1
LCM(60418,60425) = ( 60418 × 60425) / 1
LCM(60418,60425) = 3650757650 / 1
LCM(60418,60425) = 3650757650

Least Common Multiple (LCM) of 60418 and 60425 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60418 and 60425. First we will calculate the prime factors of 60418 and 60425.

Prime Factorization of 60418

Prime factors of 60418 are 2, 17, 1777. Prime factorization of 60418 in exponential form is:

60418 = 21 × 171 × 17771

Prime Factorization of 60425

Prime factors of 60425 are 5, 2417. Prime factorization of 60425 in exponential form is:

60425 = 52 × 24171

Now multiplying the highest exponent prime factors to calculate the LCM of 60418 and 60425.

LCM(60418,60425) = 21 × 171 × 17771 × 52 × 24171
LCM(60418,60425) = 3650757650