What is the Least Common Multiple of 54729 and 54736?

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 54729 and 54736 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54729 and 54736, than apply into the LCM equation.

GCF(54729,54736) = 1
LCM(54729,54736) = ( 54729 × 54736) / 1
LCM(54729,54736) = 2995646544 / 1
LCM(54729,54736) = 2995646544

Least Common Multiple (LCM) of 54729 and 54736 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54729 and 54736. First we will calculate the prime factors of 54729 and 54736.

Prime Factorization of 54729

Prime Factorization of 54736

Now multiplying the highest exponent prime factors to calculate the LCM of 54729 and 54736.

LCM(54729,54736) = 3³ × 2027¹ × 2⁴ × 11¹ × 311¹
LCM(54729,54736) = 2995646544