What is the Least Common Multiple of 40689 and 40705?

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 40689 and 40705 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40689 and 40705, than apply into the LCM equation.

GCF(40689,40705) = 1
LCM(40689,40705) = ( 40689 × 40705) / 1
LCM(40689,40705) = 1656245745 / 1
LCM(40689,40705) = 1656245745

Least Common Multiple (LCM) of 40689 and 40705 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40689 and 40705. First we will calculate the prime factors of 40689 and 40705.

Prime Factorization of 40689

Prime Factorization of 40705

Now multiplying the highest exponent prime factors to calculate the LCM of 40689 and 40705.

LCM(40689,40705) = 3³ × 11¹ × 137¹ × 5¹ × 7¹ × 1163¹
LCM(40689,40705) = 1656245745