What is the Least Common Multiple of 76701 and 76707?

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 76701 and 76707 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76701 and 76707, than apply into the LCM equation.

GCF(76701,76707) = 3
LCM(76701,76707) = ( 76701 × 76707) / 3
LCM(76701,76707) = 5883503607 / 3
LCM(76701,76707) = 1961167869

Least Common Multiple (LCM) of 76701 and 76707 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76701 and 76707. First we will calculate the prime factors of 76701 and 76707.

Prime Factorization of 76701

Prime Factorization of 76707

Now multiplying the highest exponent prime factors to calculate the LCM of 76701 and 76707.

LCM(76701,76707) = 3⁴ × 37¹ × 691¹ × 947¹
LCM(76701,76707) = 1961167869