What is the Least Common Multiple of 40645 and 40660?

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 40645 and 40660 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40645 and 40660, than apply into the LCM equation.

GCF(40645,40660) = 5
LCM(40645,40660) = ( 40645 × 40660) / 5
LCM(40645,40660) = 1652625700 / 5
LCM(40645,40660) = 330525140

Least Common Multiple (LCM) of 40645 and 40660 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40645 and 40660. First we will calculate the prime factors of 40645 and 40660.

Prime Factorization of 40645

Prime Factorization of 40660

Now multiplying the highest exponent prime factors to calculate the LCM of 40645 and 40660.

LCM(40645,40660) = 5¹ × 11¹ × 739¹ × 2² × 19¹ × 107¹
LCM(40645,40660) = 330525140