What is the Least Common Multiple of 90540 and 90546?

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 90540 and 90546 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90540 and 90546, than apply into the LCM equation.

GCF(90540,90546) = 6
LCM(90540,90546) = ( 90540 × 90546) / 6
LCM(90540,90546) = 8198034840 / 6
LCM(90540,90546) = 1366339140

Least Common Multiple (LCM) of 90540 and 90546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90540 and 90546. First we will calculate the prime factors of 90540 and 90546.

Prime Factorization of 90540

Prime Factorization of 90546

Now multiplying the highest exponent prime factors to calculate the LCM of 90540 and 90546.

LCM(90540,90546) = 2² × 3² × 5¹ × 503¹ × 15091¹
LCM(90540,90546) = 1366339140