What is the Least Common Multiple of 40640 and 40645?

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 40640 and 40645 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40640 and 40645, than apply into the LCM equation.

GCF(40640,40645) = 5
LCM(40640,40645) = ( 40640 × 40645) / 5
LCM(40640,40645) = 1651812800 / 5
LCM(40640,40645) = 330362560

Least Common Multiple (LCM) of 40640 and 40645 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40640 and 40645. First we will calculate the prime factors of 40640 and 40645.

Prime Factorization of 40640

Prime Factorization of 40645

Now multiplying the highest exponent prime factors to calculate the LCM of 40640 and 40645.

LCM(40640,40645) = 2⁶ × 5¹ × 127¹ × 11¹ × 739¹
LCM(40640,40645) = 330362560