What is the Least Common Multiple of 76635 and 76642?

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 of 76635 and 76642 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76635 and 76642, than apply into the LCM equation.

GCF(76635,76642) = 1
LCM(76635,76642) = ( 76635 × 76642) / 1
LCM(76635,76642) = 5873459670 / 1
LCM(76635,76642) = 5873459670

Least Common Multiple (LCM) of 76635 and 76642 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76635 and 76642. First we will calculate the prime factors of 76635 and 76642.

Prime Factorization of 76635

Prime Factorization of 76642

Now multiplying the highest exponent prime factors to calculate the LCM of 76635 and 76642.

LCM(76635,76642) = 3² × 5¹ × 13¹ × 131¹ × 2¹ × 38321¹
LCM(76635,76642) = 5873459670