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What is the Least Common Multiple of 60551 and 60560?

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 60551 and 60560 is 3666968560.

LCM(60551,60560) = 3666968560

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Least Common Multiple of 60551 and 60560 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60551 and 60560, than apply into the LCM equation.

GCF(60551,60560) = 1
LCM(60551,60560) = ( 60551 × 60560) / 1
LCM(60551,60560) = 3666968560 / 1
LCM(60551,60560) = 3666968560

Least Common Multiple (LCM) of 60551 and 60560 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60551 and 60560. First we will calculate the prime factors of 60551 and 60560.

Prime Factorization of 60551

Prime factors of 60551 are 151, 401. Prime factorization of 60551 in exponential form is:

60551 = 1511 × 4011

Prime Factorization of 60560

Prime factors of 60560 are 2, 5, 757. Prime factorization of 60560 in exponential form is:

60560 = 24 × 51 × 7571

Now multiplying the highest exponent prime factors to calculate the LCM of 60551 and 60560.

LCM(60551,60560) = 1511 × 4011 × 24 × 51 × 7571
LCM(60551,60560) = 3666968560