What is the Least Common Multiple of 96244 and 96252?

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 96244 and 96252 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96244 and 96252, than apply into the LCM equation.

GCF(96244,96252) = 4
LCM(96244,96252) = ( 96244 × 96252) / 4
LCM(96244,96252) = 9263677488 / 4
LCM(96244,96252) = 2315919372

Least Common Multiple (LCM) of 96244 and 96252 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96244 and 96252. First we will calculate the prime factors of 96244 and 96252.

Prime Factorization of 96244

Prime Factorization of 96252

Now multiplying the highest exponent prime factors to calculate the LCM of 96244 and 96252.

LCM(96244,96252) = 2² × 24061¹ × 3¹ × 13¹ × 617¹
LCM(96244,96252) = 2315919372