What is the Least Common Multiple of 65472 and 65476?

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 65472 and 65476 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65472 and 65476, than apply into the LCM equation.

GCF(65472,65476) = 4
LCM(65472,65476) = ( 65472 × 65476) / 4
LCM(65472,65476) = 4286844672 / 4
LCM(65472,65476) = 1071711168

Least Common Multiple (LCM) of 65472 and 65476 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65472 and 65476. First we will calculate the prime factors of 65472 and 65476.

Prime Factorization of 65472

Prime Factorization of 65476

Now multiplying the highest exponent prime factors to calculate the LCM of 65472 and 65476.

LCM(65472,65476) = 2⁶ × 3¹ × 11¹ × 31¹ × 16369¹
LCM(65472,65476) = 1071711168