What is the Least Common Multiple of 90114 and 90122?

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 90114 and 90122 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90114 and 90122, than apply into the LCM equation.

GCF(90114,90122) = 2
LCM(90114,90122) = ( 90114 × 90122) / 2
LCM(90114,90122) = 8121253908 / 2
LCM(90114,90122) = 4060626954

Least Common Multiple (LCM) of 90114 and 90122 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90114 and 90122. First we will calculate the prime factors of 90114 and 90122.

Prime Factorization of 90114

Prime Factorization of 90122

Now multiplying the highest exponent prime factors to calculate the LCM of 90114 and 90122.

LCM(90114,90122) = 2¹ × 3¹ × 23¹ × 653¹ × 45061¹
LCM(90114,90122) = 4060626954