What is the Least Common Multiple of 9942 and 9952?

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 9942 and 9952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9942 and 9952, than apply into the LCM equation.

GCF(9942,9952) = 2
LCM(9942,9952) = ( 9942 × 9952) / 2
LCM(9942,9952) = 98942784 / 2
LCM(9942,9952) = 49471392

Least Common Multiple (LCM) of 9942 and 9952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9942 and 9952. First we will calculate the prime factors of 9942 and 9952.

Prime Factorization of 9942

Prime Factorization of 9952

Now multiplying the highest exponent prime factors to calculate the LCM of 9942 and 9952.

LCM(9942,9952) = 2⁵ × 3¹ × 1657¹ × 311¹
LCM(9942,9952) = 49471392