What is the Least Common Multiple of 40656 and 40670?

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 40656 and 40670 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40656 and 40670, than apply into the LCM equation.

GCF(40656,40670) = 14
LCM(40656,40670) = ( 40656 × 40670) / 14
LCM(40656,40670) = 1653479520 / 14
LCM(40656,40670) = 118105680

Least Common Multiple (LCM) of 40656 and 40670 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40656 and 40670. First we will calculate the prime factors of 40656 and 40670.

Prime Factorization of 40656

Prime Factorization of 40670

Now multiplying the highest exponent prime factors to calculate the LCM of 40656 and 40670.

LCM(40656,40670) = 2⁴ × 3¹ × 7² × 11² × 5¹ × 83¹
LCM(40656,40670) = 118105680