What is the Least Common Multiple of 80720 and 80735?

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 80720 and 80735 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80720 and 80735, than apply into the LCM equation.

GCF(80720,80735) = 5
LCM(80720,80735) = ( 80720 × 80735) / 5
LCM(80720,80735) = 6516929200 / 5
LCM(80720,80735) = 1303385840

Least Common Multiple (LCM) of 80720 and 80735 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80720 and 80735. First we will calculate the prime factors of 80720 and 80735.

Prime Factorization of 80720

Prime Factorization of 80735

Now multiplying the highest exponent prime factors to calculate the LCM of 80720 and 80735.

LCM(80720,80735) = 2⁴ × 5¹ × 1009¹ × 67¹ × 241¹
LCM(80720,80735) = 1303385840