What is the Least Common Multiple of 9952 and 9958?

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 9952 and 9958 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9952 and 9958, than apply into the LCM equation.

GCF(9952,9958) = 2
LCM(9952,9958) = ( 9952 × 9958) / 2
LCM(9952,9958) = 99102016 / 2
LCM(9952,9958) = 49551008

Least Common Multiple (LCM) of 9952 and 9958 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9952 and 9958. First we will calculate the prime factors of 9952 and 9958.

Prime Factorization of 9952

Prime Factorization of 9958

Now multiplying the highest exponent prime factors to calculate the LCM of 9952 and 9958.

LCM(9952,9958) = 2⁵ × 311¹ × 13¹ × 383¹
LCM(9952,9958) = 49551008