What is the Least Common Multiple of 83234 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 83234 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 83234 and 83252, than apply into the LCM equation.

GCF(83234,83252) = 2
LCM(83234,83252) = ( 83234 × 83252) / 2
LCM(83234,83252) = 6929396968 / 2
LCM(83234,83252) = 3464698484

Least Common Multiple (LCM) of 83234 and 83252 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83234 and 83252. First we will calculate the prime factors of 83234 and 83252.

Prime Factorization of 83234

Prime Factorization of 83252

Now multiplying the highest exponent prime factors to calculate the LCM of 83234 and 83252.

LCM(83234,83252) = 2² × 41617¹ × 13¹ × 1601¹
LCM(83234,83252) = 3464698484