What is the Least Common Multiple of 88232 and 88252?

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 88232 and 88252 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88232 and 88252, than apply into the LCM equation.

GCF(88232,88252) = 4
LCM(88232,88252) = ( 88232 × 88252) / 4
LCM(88232,88252) = 7786650464 / 4
LCM(88232,88252) = 1946662616

Least Common Multiple (LCM) of 88232 and 88252 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88232 and 88252. First we will calculate the prime factors of 88232 and 88252.

Prime Factorization of 88232

Prime Factorization of 88252

Now multiplying the highest exponent prime factors to calculate the LCM of 88232 and 88252.

LCM(88232,88252) = 2³ × 41¹ × 269¹ × 22063¹
LCM(88232,88252) = 1946662616