What is the Least Common Multiple of 40680 and 40689?

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 40680 and 40689 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40680 and 40689, than apply into the LCM equation.

GCF(40680,40689) = 9
LCM(40680,40689) = ( 40680 × 40689) / 9
LCM(40680,40689) = 1655228520 / 9
LCM(40680,40689) = 183914280

Least Common Multiple (LCM) of 40680 and 40689 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40680 and 40689. First we will calculate the prime factors of 40680 and 40689.

Prime Factorization of 40680

Prime Factorization of 40689

Now multiplying the highest exponent prime factors to calculate the LCM of 40680 and 40689.

LCM(40680,40689) = 2³ × 3³ × 5¹ × 113¹ × 11¹ × 137¹
LCM(40680,40689) = 183914280