What is the Least Common Multiple of 90102 and 90109?

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 90102 and 90109 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90102 and 90109, than apply into the LCM equation.

GCF(90102,90109) = 1
LCM(90102,90109) = ( 90102 × 90109) / 1
LCM(90102,90109) = 8119001118 / 1
LCM(90102,90109) = 8119001118

Least Common Multiple (LCM) of 90102 and 90109 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90102 and 90109. First we will calculate the prime factors of 90102 and 90109.

Prime Factorization of 90102

Prime Factorization of 90109

Now multiplying the highest exponent prime factors to calculate the LCM of 90102 and 90109.

LCM(90102,90109) = 2¹ × 3¹ × 15017¹ × 251¹ × 359¹
LCM(90102,90109) = 8119001118