What is the Least Common Multiple of 76695 and 76701?

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 76695 and 76701 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76695 and 76701, than apply into the LCM equation.

GCF(76695,76701) = 3
LCM(76695,76701) = ( 76695 × 76701) / 3
LCM(76695,76701) = 5882583195 / 3
LCM(76695,76701) = 1960861065

Least Common Multiple (LCM) of 76695 and 76701 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76695 and 76701. First we will calculate the prime factors of 76695 and 76701.

Prime Factorization of 76695

Prime Factorization of 76701

Now multiplying the highest exponent prime factors to calculate the LCM of 76695 and 76701.

LCM(76695,76701) = 3¹ × 5¹ × 5113¹ × 37¹ × 691¹
LCM(76695,76701) = 1960861065