What is the Least Common Multiple of 77104 and 77118?

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 77104 and 77118 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77104 and 77118, than apply into the LCM equation.

GCF(77104,77118) = 2
LCM(77104,77118) = ( 77104 × 77118) / 2
LCM(77104,77118) = 5946106272 / 2
LCM(77104,77118) = 2973053136

Least Common Multiple (LCM) of 77104 and 77118 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77104 and 77118. First we will calculate the prime factors of 77104 and 77118.

Prime Factorization of 77104

Prime Factorization of 77118

Now multiplying the highest exponent prime factors to calculate the LCM of 77104 and 77118.

LCM(77104,77118) = 2⁴ × 61¹ × 79¹ × 3¹ × 12853¹
LCM(77104,77118) = 2973053136