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What is the Least Common Multiple of 60981 and 60992?

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 60981 and 60992 is 3719353152.

LCM(60981,60992) = 3719353152

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Least Common Multiple of 60981 and 60992 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60981 and 60992, than apply into the LCM equation.

GCF(60981,60992) = 1
LCM(60981,60992) = ( 60981 × 60992) / 1
LCM(60981,60992) = 3719353152 / 1
LCM(60981,60992) = 3719353152

Least Common Multiple (LCM) of 60981 and 60992 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60981 and 60992. First we will calculate the prime factors of 60981 and 60992.

Prime Factorization of 60981

Prime factors of 60981 are 3, 20327. Prime factorization of 60981 in exponential form is:

60981 = 31 × 203271

Prime Factorization of 60992

Prime factors of 60992 are 2, 953. Prime factorization of 60992 in exponential form is:

60992 = 26 × 9531

Now multiplying the highest exponent prime factors to calculate the LCM of 60981 and 60992.

LCM(60981,60992) = 31 × 203271 × 26 × 9531
LCM(60981,60992) = 3719353152