What is the Least Common Multiple of 77706 and 77715?

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 77706 and 77715 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77706 and 77715, than apply into the LCM equation.

GCF(77706,77715) = 9
LCM(77706,77715) = ( 77706 × 77715) / 9
LCM(77706,77715) = 6038921790 / 9
LCM(77706,77715) = 670991310

Least Common Multiple (LCM) of 77706 and 77715 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77706 and 77715. First we will calculate the prime factors of 77706 and 77715.

Prime Factorization of 77706

Prime Factorization of 77715

Now multiplying the highest exponent prime factors to calculate the LCM of 77706 and 77715.

LCM(77706,77715) = 2¹ × 3³ × 1439¹ × 5¹ × 11¹ × 157¹
LCM(77706,77715) = 670991310