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What is the Least Common Multiple of 60661 and 60672?

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 60661 and 60672 is 3680424192.

LCM(60661,60672) = 3680424192

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Least Common Multiple of 60661 and 60672 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60661 and 60672, than apply into the LCM equation.

GCF(60661,60672) = 1
LCM(60661,60672) = ( 60661 × 60672) / 1
LCM(60661,60672) = 3680424192 / 1
LCM(60661,60672) = 3680424192

Least Common Multiple (LCM) of 60661 and 60672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60661 and 60672. First we will calculate the prime factors of 60661 and 60672.

Prime Factorization of 60661

Prime factors of 60661 are 60661. Prime factorization of 60661 in exponential form is:

60661 = 606611

Prime Factorization of 60672

Prime factors of 60672 are 2, 3, 79. Prime factorization of 60672 in exponential form is:

60672 = 28 × 31 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 60661 and 60672.

LCM(60661,60672) = 606611 × 28 × 31 × 791
LCM(60661,60672) = 3680424192