What is the Least Common Multiple of 99236 and 99252?

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 99236 and 99252 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99236 and 99252, than apply into the LCM equation.

GCF(99236,99252) = 4
LCM(99236,99252) = ( 99236 × 99252) / 4
LCM(99236,99252) = 9849371472 / 4
LCM(99236,99252) = 2462342868

Least Common Multiple (LCM) of 99236 and 99252 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99236 and 99252. First we will calculate the prime factors of 99236 and 99252.

Prime Factorization of 99236

Prime Factorization of 99252

Now multiplying the highest exponent prime factors to calculate the LCM of 99236 and 99252.

LCM(99236,99252) = 2² × 24809¹ × 3³ × 919¹
LCM(99236,99252) = 2462342868