What is the Least Common Multiple of 47949 and 47966?

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 47966 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 47966, than apply into the LCM equation.

GCF(47949,47966) = 1
LCM(47949,47966) = ( 47949 × 47966) / 1
LCM(47949,47966) = 2299921734 / 1
LCM(47949,47966) = 2299921734

Least Common Multiple (LCM) of 47949 and 47966 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47949 and 47966. First we will calculate the prime factors of 47949 and 47966.

Prime Factorization of 47949

Prime Factorization of 47966

Now multiplying the highest exponent prime factors to calculate the LCM of 47949 and 47966.

LCM(47949,47966) = 3¹ × 11¹ × 1453¹ × 2¹ × 29¹ × 827¹
LCM(47949,47966) = 2299921734