What is the Least Common Multiple of 83105 and 83124?

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 83105 and 83124 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83105 and 83124, than apply into the LCM equation.

GCF(83105,83124) = 1
LCM(83105,83124) = ( 83105 × 83124) / 1
LCM(83105,83124) = 6908020020 / 1
LCM(83105,83124) = 6908020020

Least Common Multiple (LCM) of 83105 and 83124 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83105 and 83124. First we will calculate the prime factors of 83105 and 83124.

Prime Factorization of 83105

Prime Factorization of 83124

Now multiplying the highest exponent prime factors to calculate the LCM of 83105 and 83124.

LCM(83105,83124) = 5¹ × 11¹ × 1511¹ × 2² × 3² × 2309¹
LCM(83105,83124) = 6908020020