What is the Least Common Multiple of 90105 and 90124?

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 90105 and 90124 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90105 and 90124, than apply into the LCM equation.

GCF(90105,90124) = 1
LCM(90105,90124) = ( 90105 × 90124) / 1
LCM(90105,90124) = 8120623020 / 1
LCM(90105,90124) = 8120623020

Least Common Multiple (LCM) of 90105 and 90124 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90105 and 90124. First we will calculate the prime factors of 90105 and 90124.

Prime Factorization of 90105

Prime Factorization of 90124

Now multiplying the highest exponent prime factors to calculate the LCM of 90105 and 90124.

LCM(90105,90124) = 3¹ × 5¹ × 6007¹ × 2² × 22531¹
LCM(90105,90124) = 8120623020