What is the Least Common Multiple of 5949 and 5966?

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 5949 and 5966 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5949 and 5966, than apply into the LCM equation.

GCF(5949,5966) = 1
LCM(5949,5966) = ( 5949 × 5966) / 1
LCM(5949,5966) = 35491734 / 1
LCM(5949,5966) = 35491734

Least Common Multiple (LCM) of 5949 and 5966 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5949 and 5966. First we will calculate the prime factors of 5949 and 5966.

Prime Factorization of 5949

Prime Factorization of 5966

Now multiplying the highest exponent prime factors to calculate the LCM of 5949 and 5966.

LCM(5949,5966) = 3² × 661¹ × 2¹ × 19¹ × 157¹
LCM(5949,5966) = 35491734