What is the Least Common Multiple of 90840 and 90855?

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 90840 and 90855 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90840 and 90855, than apply into the LCM equation.

GCF(90840,90855) = 15
LCM(90840,90855) = ( 90840 × 90855) / 15
LCM(90840,90855) = 8253268200 / 15
LCM(90840,90855) = 550217880

Least Common Multiple (LCM) of 90840 and 90855 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90840 and 90855. First we will calculate the prime factors of 90840 and 90855.

Prime Factorization of 90840

Prime Factorization of 90855

Now multiplying the highest exponent prime factors to calculate the LCM of 90840 and 90855.

LCM(90840,90855) = 2³ × 3³ × 5¹ × 757¹ × 673¹
LCM(90840,90855) = 550217880