What is the Least Common Multiple of 50949 and 50966?

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 50949 and 50966 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50949 and 50966, than apply into the LCM equation.

GCF(50949,50966) = 17
LCM(50949,50966) = ( 50949 × 50966) / 17
LCM(50949,50966) = 2596666734 / 17
LCM(50949,50966) = 152745102

Least Common Multiple (LCM) of 50949 and 50966 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50949 and 50966. First we will calculate the prime factors of 50949 and 50966.

Prime Factorization of 50949

Prime Factorization of 50966

Now multiplying the highest exponent prime factors to calculate the LCM of 50949 and 50966.

LCM(50949,50966) = 3⁴ × 17¹ × 37¹ × 2¹ × 1499¹
LCM(50949,50966) = 152745102