What is the Least Common Multiple of 51648 and 51653?

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 51648 and 51653 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51648 and 51653, than apply into the LCM equation.

GCF(51648,51653) = 1
LCM(51648,51653) = ( 51648 × 51653) / 1
LCM(51648,51653) = 2667774144 / 1
LCM(51648,51653) = 2667774144

Least Common Multiple (LCM) of 51648 and 51653 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51648 and 51653. First we will calculate the prime factors of 51648 and 51653.

Prime Factorization of 51648

Prime Factorization of 51653

Now multiplying the highest exponent prime factors to calculate the LCM of 51648 and 51653.

LCM(51648,51653) = 2⁶ × 3¹ × 269¹ × 7¹ × 47¹ × 157¹
LCM(51648,51653) = 2667774144