What is the Least Common Multiple of 83232 and 83252?

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 83232 and 83252 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83232 and 83252, than apply into the LCM equation.

GCF(83232,83252) = 4
LCM(83232,83252) = ( 83232 × 83252) / 4
LCM(83232,83252) = 6929230464 / 4
LCM(83232,83252) = 1732307616

Least Common Multiple (LCM) of 83232 and 83252 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83232 and 83252. First we will calculate the prime factors of 83232 and 83252.

Prime Factorization of 83232

Prime Factorization of 83252

Now multiplying the highest exponent prime factors to calculate the LCM of 83232 and 83252.

LCM(83232,83252) = 2⁵ × 3² × 17² × 13¹ × 1601¹
LCM(83232,83252) = 1732307616