What is the Least Common Multiple of 47728 and 47735?

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 47728 and 47735 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47728 and 47735, than apply into the LCM equation.

GCF(47728,47735) = 1
LCM(47728,47735) = ( 47728 × 47735) / 1
LCM(47728,47735) = 2278296080 / 1
LCM(47728,47735) = 2278296080

Least Common Multiple (LCM) of 47728 and 47735 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47728 and 47735. First we will calculate the prime factors of 47728 and 47735.

Prime Factorization of 47728

Prime Factorization of 47735

Now multiplying the highest exponent prime factors to calculate the LCM of 47728 and 47735.

LCM(47728,47735) = 2⁴ × 19¹ × 157¹ × 5¹ × 9547¹
LCM(47728,47735) = 2278296080