What is the Least Common Multiple of 90189 and 90197?

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 90189 and 90197 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90189 and 90197, than apply into the LCM equation.

GCF(90189,90197) = 1
LCM(90189,90197) = ( 90189 × 90197) / 1
LCM(90189,90197) = 8134777233 / 1
LCM(90189,90197) = 8134777233

Least Common Multiple (LCM) of 90189 and 90197 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90189 and 90197. First we will calculate the prime factors of 90189 and 90197.

Prime Factorization of 90189

Prime Factorization of 90197

Now multiplying the highest exponent prime factors to calculate the LCM of 90189 and 90197.

LCM(90189,90197) = 3² × 11¹ × 911¹ × 90197¹
LCM(90189,90197) = 8134777233