What is the Least Common Multiple of 49952 and 49958?

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 49958 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 49958, than apply into the LCM equation.

GCF(49952,49958) = 2
LCM(49952,49958) = ( 49952 × 49958) / 2
LCM(49952,49958) = 2495502016 / 2
LCM(49952,49958) = 1247751008

Least Common Multiple (LCM) of 49952 and 49958 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49952 and 49958. First we will calculate the prime factors of 49952 and 49958.

Prime Factorization of 49952

Prime Factorization of 49958

Now multiplying the highest exponent prime factors to calculate the LCM of 49952 and 49958.

LCM(49952,49958) = 2⁵ × 7¹ × 223¹ × 24979¹
LCM(49952,49958) = 1247751008