What is the Least Common Multiple of 54636 and 54640?

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 54636 and 54640 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54636 and 54640, than apply into the LCM equation.

GCF(54636,54640) = 4
LCM(54636,54640) = ( 54636 × 54640) / 4
LCM(54636,54640) = 2985311040 / 4
LCM(54636,54640) = 746327760

Least Common Multiple (LCM) of 54636 and 54640 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54636 and 54640. First we will calculate the prime factors of 54636 and 54640.

Prime Factorization of 54636

Prime Factorization of 54640

Now multiplying the highest exponent prime factors to calculate the LCM of 54636 and 54640.

LCM(54636,54640) = 2⁴ × 3¹ × 29¹ × 157¹ × 5¹ × 683¹
LCM(54636,54640) = 746327760