What is the Least Common Multiple of 40657 and 40669?

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 40657 and 40669 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40657 and 40669, than apply into the LCM equation.

GCF(40657,40669) = 1
LCM(40657,40669) = ( 40657 × 40669) / 1
LCM(40657,40669) = 1653479533 / 1
LCM(40657,40669) = 1653479533

Least Common Multiple (LCM) of 40657 and 40669 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40657 and 40669. First we will calculate the prime factors of 40657 and 40669.

Prime Factorization of 40657

Prime Factorization of 40669

Now multiplying the highest exponent prime factors to calculate the LCM of 40657 and 40669.

LCM(40657,40669) = 109¹ × 373¹ × 67¹ × 607¹
LCM(40657,40669) = 1653479533