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What is the Least Common Multiple of 60418 and 60433?

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 60433 is 3651240994.

LCM(60418,60433) = 3651240994

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Least Common Multiple of 60418 and 60433 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 60433, than apply into the LCM equation.

GCF(60418,60433) = 1
LCM(60418,60433) = ( 60418 × 60433) / 1
LCM(60418,60433) = 3651240994 / 1
LCM(60418,60433) = 3651240994

Least Common Multiple (LCM) of 60418 and 60433 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60418 and 60433. First we will calculate the prime factors of 60418 and 60433.

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 60433

Prime factors of 60433 are 223, 271. Prime factorization of 60433 in exponential form is:

60433 = 2231 × 2711

Now multiplying the highest exponent prime factors to calculate the LCM of 60418 and 60433.

LCM(60418,60433) = 21 × 171 × 17771 × 2231 × 2711
LCM(60418,60433) = 3651240994