What is the Least Common Multiple of 97946 and 97952?

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 97946 and 97952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97946 and 97952, than apply into the LCM equation.

GCF(97946,97952) = 2
LCM(97946,97952) = ( 97946 × 97952) / 2
LCM(97946,97952) = 9594006592 / 2
LCM(97946,97952) = 4797003296

Least Common Multiple (LCM) of 97946 and 97952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97946 and 97952. First we will calculate the prime factors of 97946 and 97952.

Prime Factorization of 97946

Prime Factorization of 97952

Now multiplying the highest exponent prime factors to calculate the LCM of 97946 and 97952.

LCM(97946,97952) = 2⁵ × 48973¹ × 3061¹
LCM(97946,97952) = 4797003296