What is the Least Common Multiple of 90705 and 90720?

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 90705 and 90720 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90705 and 90720, than apply into the LCM equation.

GCF(90705,90720) = 15
LCM(90705,90720) = ( 90705 × 90720) / 15
LCM(90705,90720) = 8228757600 / 15
LCM(90705,90720) = 548583840

Least Common Multiple (LCM) of 90705 and 90720 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90705 and 90720. First we will calculate the prime factors of 90705 and 90720.

Prime Factorization of 90705

Prime Factorization of 90720

Now multiplying the highest exponent prime factors to calculate the LCM of 90705 and 90720.

LCM(90705,90720) = 3⁴ × 5¹ × 6047¹ × 2⁵ × 7¹
LCM(90705,90720) = 548583840