What is the Least Common Multiple of 49728 and 49733?

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 49733 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 49733, than apply into the LCM equation.

GCF(49728,49733) = 1
LCM(49728,49733) = ( 49728 × 49733) / 1
LCM(49728,49733) = 2473122624 / 1
LCM(49728,49733) = 2473122624

Least Common Multiple (LCM) of 49728 and 49733 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49728 and 49733. First we will calculate the prime factors of 49728 and 49733.

Prime Factorization of 49728

Prime Factorization of 49733

Now multiplying the highest exponent prime factors to calculate the LCM of 49728 and 49733.

LCM(49728,49733) = 2⁶ × 3¹ × 7¹ × 37¹ × 41¹ × 1213¹
LCM(49728,49733) = 2473122624