What is the Least Common Multiple of 40672 and 40690?

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 40690 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 40690, than apply into the LCM equation.

GCF(40672,40690) = 2
LCM(40672,40690) = ( 40672 × 40690) / 2
LCM(40672,40690) = 1654943680 / 2
LCM(40672,40690) = 827471840

Least Common Multiple (LCM) of 40672 and 40690 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40672 and 40690. First we will calculate the prime factors of 40672 and 40690.

Prime Factorization of 40672

Prime Factorization of 40690

Now multiplying the highest exponent prime factors to calculate the LCM of 40672 and 40690.

LCM(40672,40690) = 2⁵ × 31¹ × 41¹ × 5¹ × 13¹ × 313¹
LCM(40672,40690) = 827471840