What is the Least Common Multiple of 40730 and 40735?

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 40730 and 40735 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40730 and 40735, than apply into the LCM equation.

GCF(40730,40735) = 5
LCM(40730,40735) = ( 40730 × 40735) / 5
LCM(40730,40735) = 1659136550 / 5
LCM(40730,40735) = 331827310

Least Common Multiple (LCM) of 40730 and 40735 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40730 and 40735. First we will calculate the prime factors of 40730 and 40735.

Prime Factorization of 40730

Prime Factorization of 40735

Now multiplying the highest exponent prime factors to calculate the LCM of 40730 and 40735.

LCM(40730,40735) = 2¹ × 5¹ × 4073¹ × 8147¹
LCM(40730,40735) = 331827310