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What is the Least Common Multiple of 60271 and 60287?

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 60271 and 60287 is 3633557777.

LCM(60271,60287) = 3633557777

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Least Common Multiple of 60271 and 60287 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60271 and 60287, than apply into the LCM equation.

GCF(60271,60287) = 1
LCM(60271,60287) = ( 60271 × 60287) / 1
LCM(60271,60287) = 3633557777 / 1
LCM(60271,60287) = 3633557777

Least Common Multiple (LCM) of 60271 and 60287 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60271 and 60287. First we will calculate the prime factors of 60271 and 60287.

Prime Factorization of 60271

Prime factors of 60271 are 60271. Prime factorization of 60271 in exponential form is:

60271 = 602711

Prime Factorization of 60287

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

60287 = 192 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 60271 and 60287.

LCM(60271,60287) = 602711 × 192 × 1671
LCM(60271,60287) = 3633557777