What is the Least Common Multiple of 90654 and 90672?

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 90654 and 90672 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90654 and 90672, than apply into the LCM equation.

GCF(90654,90672) = 6
LCM(90654,90672) = ( 90654 × 90672) / 6
LCM(90654,90672) = 8219779488 / 6
LCM(90654,90672) = 1369963248

Least Common Multiple (LCM) of 90654 and 90672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90654 and 90672. First we will calculate the prime factors of 90654 and 90672.

Prime Factorization of 90654

Prime Factorization of 90672

Now multiplying the highest exponent prime factors to calculate the LCM of 90654 and 90672.

LCM(90654,90672) = 2⁴ × 3¹ × 29¹ × 521¹ × 1889¹
LCM(90654,90672) = 1369963248