What is the Least Common Multiple of 98144 and 98152?

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 98144 and 98152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98144 and 98152, than apply into the LCM equation.

GCF(98144,98152) = 8
LCM(98144,98152) = ( 98144 × 98152) / 8
LCM(98144,98152) = 9633029888 / 8
LCM(98144,98152) = 1204128736

Least Common Multiple (LCM) of 98144 and 98152 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98144 and 98152. First we will calculate the prime factors of 98144 and 98152.

Prime Factorization of 98144

Prime Factorization of 98152

Now multiplying the highest exponent prime factors to calculate the LCM of 98144 and 98152.

LCM(98144,98152) = 2⁵ × 3067¹ × 12269¹
LCM(98144,98152) = 1204128736