What is the Least Common Multiple of 49728 and 49737?

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 49728 and 49737 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49728 and 49737, than apply into the LCM equation.

GCF(49728,49737) = 3
LCM(49728,49737) = ( 49728 × 49737) / 3
LCM(49728,49737) = 2473321536 / 3
LCM(49728,49737) = 824440512

Least Common Multiple (LCM) of 49728 and 49737 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49728 and 49737. First we will calculate the prime factors of 49728 and 49737.

Prime Factorization of 49728

Prime Factorization of 49737

Now multiplying the highest exponent prime factors to calculate the LCM of 49728 and 49737.

LCM(49728,49737) = 2⁶ × 3¹ × 7¹ × 37¹ × 59¹ × 281¹
LCM(49728,49737) = 824440512