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What is the Least Common Multiple of 60439 and 60451?

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 60439 and 60451 is 3653597989.

LCM(60439,60451) = 3653597989

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Least Common Multiple of 60439 and 60451 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60439 and 60451, than apply into the LCM equation.

GCF(60439,60451) = 1
LCM(60439,60451) = ( 60439 × 60451) / 1
LCM(60439,60451) = 3653597989 / 1
LCM(60439,60451) = 3653597989

Least Common Multiple (LCM) of 60439 and 60451 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60439 and 60451. First we will calculate the prime factors of 60439 and 60451.

Prime Factorization of 60439

Prime factors of 60439 are 19, 3181. Prime factorization of 60439 in exponential form is:

60439 = 191 × 31811

Prime Factorization of 60451

Prime factors of 60451 are 61, 991. Prime factorization of 60451 in exponential form is:

60451 = 611 × 9911

Now multiplying the highest exponent prime factors to calculate the LCM of 60439 and 60451.

LCM(60439,60451) = 191 × 31811 × 611 × 9911
LCM(60439,60451) = 3653597989