What is the Least Common Multiple of 90192 and 90207?

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 90192 and 90207 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90192 and 90207, than apply into the LCM equation.

GCF(90192,90207) = 3
LCM(90192,90207) = ( 90192 × 90207) / 3
LCM(90192,90207) = 8135949744 / 3
LCM(90192,90207) = 2711983248

Least Common Multiple (LCM) of 90192 and 90207 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90192 and 90207. First we will calculate the prime factors of 90192 and 90207.

Prime Factorization of 90192

Prime Factorization of 90207

Now multiplying the highest exponent prime factors to calculate the LCM of 90192 and 90207.

LCM(90192,90207) = 2⁴ × 3³ × 1879¹ × 13¹ × 257¹
LCM(90192,90207) = 2711983248