What is the Least Common Multiple of 86108 and 86123?

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 86108 and 86123 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86108 and 86123, than apply into the LCM equation.

GCF(86108,86123) = 1
LCM(86108,86123) = ( 86108 × 86123) / 1
LCM(86108,86123) = 7415879284 / 1
LCM(86108,86123) = 7415879284

Least Common Multiple (LCM) of 86108 and 86123 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86108 and 86123. First we will calculate the prime factors of 86108 and 86123.

Prime Factorization of 86108

Prime Factorization of 86123

Now multiplying the highest exponent prime factors to calculate the LCM of 86108 and 86123.

LCM(86108,86123) = 2² × 11¹ × 19¹ × 103¹ × 71¹ × 1213¹
LCM(86108,86123) = 7415879284