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What is the Least Common Multiple of 60885 and 60892?

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 60885 and 60892 is 3707409420.

LCM(60885,60892) = 3707409420

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Least Common Multiple of 60885 and 60892 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60885 and 60892, than apply into the LCM equation.

GCF(60885,60892) = 1
LCM(60885,60892) = ( 60885 × 60892) / 1
LCM(60885,60892) = 3707409420 / 1
LCM(60885,60892) = 3707409420

Least Common Multiple (LCM) of 60885 and 60892 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60885 and 60892. First we will calculate the prime factors of 60885 and 60892.

Prime Factorization of 60885

Prime factors of 60885 are 3, 5, 11, 41. Prime factorization of 60885 in exponential form is:

60885 = 33 × 51 × 111 × 411

Prime Factorization of 60892

Prime factors of 60892 are 2, 13, 1171. Prime factorization of 60892 in exponential form is:

60892 = 22 × 131 × 11711

Now multiplying the highest exponent prime factors to calculate the LCM of 60885 and 60892.

LCM(60885,60892) = 33 × 51 × 111 × 411 × 22 × 131 × 11711
LCM(60885,60892) = 3707409420