What is the Least Common Multiple of 83222 and 83234?

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 83222 and 83234 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83222 and 83234, than apply into the LCM equation.

GCF(83222,83234) = 2
LCM(83222,83234) = ( 83222 × 83234) / 2
LCM(83222,83234) = 6926899948 / 2
LCM(83222,83234) = 3463449974

Least Common Multiple (LCM) of 83222 and 83234 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83222 and 83234. First we will calculate the prime factors of 83222 and 83234.

Prime Factorization of 83222

Prime Factorization of 83234

Now multiplying the highest exponent prime factors to calculate the LCM of 83222 and 83234.

LCM(83222,83234) = 2¹ × 41611¹ × 41617¹
LCM(83222,83234) = 3463449974