What is the Least Common Multiple of 47949 and 47967?

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 47967 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 47967, than apply into the LCM equation.

GCF(47949,47967) = 3
LCM(47949,47967) = ( 47949 × 47967) / 3
LCM(47949,47967) = 2299969683 / 3
LCM(47949,47967) = 766656561

Least Common Multiple (LCM) of 47949 and 47967 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47949 and 47967. First we will calculate the prime factors of 47949 and 47967.

Prime Factorization of 47949

Prime Factorization of 47967

Now multiplying the highest exponent prime factors to calculate the LCM of 47949 and 47967.

LCM(47949,47967) = 3¹ × 11¹ × 1453¹ × 59¹ × 271¹
LCM(47949,47967) = 766656561