What is the Least Common Multiple of 49952 and 49966?

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 49952 and 49966 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49952 and 49966, than apply into the LCM equation.

GCF(49952,49966) = 14
LCM(49952,49966) = ( 49952 × 49966) / 14
LCM(49952,49966) = 2495901632 / 14
LCM(49952,49966) = 178278688

Least Common Multiple (LCM) of 49952 and 49966 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49952 and 49966. First we will calculate the prime factors of 49952 and 49966.

Prime Factorization of 49952

Prime Factorization of 49966

Now multiplying the highest exponent prime factors to calculate the LCM of 49952 and 49966.

LCM(49952,49966) = 2⁵ × 7¹ × 223¹ × 43¹ × 83¹
LCM(49952,49966) = 178278688