What is the Least Common Multiple of 47949 and 47955?

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 47949 and 47955 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47949 and 47955, than apply into the LCM equation.

GCF(47949,47955) = 3
LCM(47949,47955) = ( 47949 × 47955) / 3
LCM(47949,47955) = 2299394295 / 3
LCM(47949,47955) = 766464765

Least Common Multiple (LCM) of 47949 and 47955 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47949 and 47955. First we will calculate the prime factors of 47949 and 47955.

Prime Factorization of 47949

Prime Factorization of 47955

Now multiplying the highest exponent prime factors to calculate the LCM of 47949 and 47955.

LCM(47949,47955) = 3¹ × 11¹ × 1453¹ × 5¹ × 23¹ × 139¹
LCM(47949,47955) = 766464765