What is the Least Common Multiple of 73654 and 73664?

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 73654 and 73664 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73654 and 73664, than apply into the LCM equation.

GCF(73654,73664) = 2
LCM(73654,73664) = ( 73654 × 73664) / 2
LCM(73654,73664) = 5425648256 / 2
LCM(73654,73664) = 2712824128

Least Common Multiple (LCM) of 73654 and 73664 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73654 and 73664. First we will calculate the prime factors of 73654 and 73664.

Prime Factorization of 73654

Prime Factorization of 73664

Now multiplying the highest exponent prime factors to calculate the LCM of 73654 and 73664.

LCM(73654,73664) = 2⁶ × 7¹ × 5261¹ × 1151¹
LCM(73654,73664) = 2712824128