What is the Least Common Multiple of 40672 and 40679?

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 40672 and 40679 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40672 and 40679, than apply into the LCM equation.

GCF(40672,40679) = 1
LCM(40672,40679) = ( 40672 × 40679) / 1
LCM(40672,40679) = 1654496288 / 1
LCM(40672,40679) = 1654496288

Least Common Multiple (LCM) of 40672 and 40679 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40672 and 40679. First we will calculate the prime factors of 40672 and 40679.

Prime Factorization of 40672

Prime Factorization of 40679

Now multiplying the highest exponent prime factors to calculate the LCM of 40672 and 40679.

LCM(40672,40679) = 2⁵ × 31¹ × 41¹ × 19¹ × 2141¹
LCM(40672,40679) = 1654496288