What is the Least Common Multiple of 77651 and 77664?

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 77651 and 77664 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77651 and 77664, than apply into the LCM equation.

GCF(77651,77664) = 1
LCM(77651,77664) = ( 77651 × 77664) / 1
LCM(77651,77664) = 6030687264 / 1
LCM(77651,77664) = 6030687264

Least Common Multiple (LCM) of 77651 and 77664 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77651 and 77664. First we will calculate the prime factors of 77651 and 77664.

Prime Factorization of 77651

Prime Factorization of 77664

Now multiplying the highest exponent prime factors to calculate the LCM of 77651 and 77664.

LCM(77651,77664) = 7¹ × 11093¹ × 2⁵ × 3¹ × 809¹
LCM(77651,77664) = 6030687264