What is the Least Common Multiple of 90648 and 90654?

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 90648 and 90654 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90648 and 90654, than apply into the LCM equation.

GCF(90648,90654) = 6
LCM(90648,90654) = ( 90648 × 90654) / 6
LCM(90648,90654) = 8217603792 / 6
LCM(90648,90654) = 1369600632

Least Common Multiple (LCM) of 90648 and 90654 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90648 and 90654. First we will calculate the prime factors of 90648 and 90654.

Prime Factorization of 90648

Prime Factorization of 90654

Now multiplying the highest exponent prime factors to calculate the LCM of 90648 and 90654.

LCM(90648,90654) = 2³ × 3² × 1259¹ × 29¹ × 521¹
LCM(90648,90654) = 1369600632