What is the Least Common Multiple of 48114 and 48122?

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 48114 and 48122 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48114 and 48122, than apply into the LCM equation.

GCF(48114,48122) = 2
LCM(48114,48122) = ( 48114 × 48122) / 2
LCM(48114,48122) = 2315341908 / 2
LCM(48114,48122) = 1157670954

Least Common Multiple (LCM) of 48114 and 48122 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48114 and 48122. First we will calculate the prime factors of 48114 and 48122.

Prime Factorization of 48114

Prime Factorization of 48122

Now multiplying the highest exponent prime factors to calculate the LCM of 48114 and 48122.

LCM(48114,48122) = 2¹ × 3⁷ × 11¹ × 24061¹
LCM(48114,48122) = 1157670954