What is the Least Common Multiple of 96108 and 96122?

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 96108 and 96122 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96108 and 96122, than apply into the LCM equation.

GCF(96108,96122) = 2
LCM(96108,96122) = ( 96108 × 96122) / 2
LCM(96108,96122) = 9238093176 / 2
LCM(96108,96122) = 4619046588

Least Common Multiple (LCM) of 96108 and 96122 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96108 and 96122. First we will calculate the prime factors of 96108 and 96122.

Prime Factorization of 96108

Prime Factorization of 96122

Now multiplying the highest exponent prime factors to calculate the LCM of 96108 and 96122.

LCM(96108,96122) = 2² × 3¹ × 8009¹ × 13¹ × 3697¹
LCM(96108,96122) = 4619046588