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What is the Least Common Multiple of 60287 and 60295?

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 60287 and 60295 is 3635004665.

LCM(60287,60295) = 3635004665

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Least Common Multiple of 60287 and 60295 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60287 and 60295, than apply into the LCM equation.

GCF(60287,60295) = 1
LCM(60287,60295) = ( 60287 × 60295) / 1
LCM(60287,60295) = 3635004665 / 1
LCM(60287,60295) = 3635004665

Least Common Multiple (LCM) of 60287 and 60295 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60287 and 60295. First we will calculate the prime factors of 60287 and 60295.

Prime Factorization of 60287

Prime factors of 60287 are 19, 167. Prime factorization of 60287 in exponential form is:

60287 = 192 × 1671

Prime Factorization of 60295

Prime factors of 60295 are 5, 31, 389. Prime factorization of 60295 in exponential form is:

60295 = 51 × 311 × 3891

Now multiplying the highest exponent prime factors to calculate the LCM of 60287 and 60295.

LCM(60287,60295) = 192 × 1671 × 51 × 311 × 3891
LCM(60287,60295) = 3635004665