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What is the Least Common Multiple of 60473 and 60484?

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 60473 and 60484 is 3657648932.

LCM(60473,60484) = 3657648932

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Least Common Multiple of 60473 and 60484 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60473 and 60484, than apply into the LCM equation.

GCF(60473,60484) = 1
LCM(60473,60484) = ( 60473 × 60484) / 1
LCM(60473,60484) = 3657648932 / 1
LCM(60473,60484) = 3657648932

Least Common Multiple (LCM) of 60473 and 60484 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60473 and 60484. First we will calculate the prime factors of 60473 and 60484.

Prime Factorization of 60473

Prime factors of 60473 are 7, 53, 163. Prime factorization of 60473 in exponential form is:

60473 = 71 × 531 × 1631

Prime Factorization of 60484

Prime factors of 60484 are 2, 15121. Prime factorization of 60484 in exponential form is:

60484 = 22 × 151211

Now multiplying the highest exponent prime factors to calculate the LCM of 60473 and 60484.

LCM(60473,60484) = 71 × 531 × 1631 × 22 × 151211
LCM(60473,60484) = 3657648932