What is the Least Common Multiple of 40978 and 40987?

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 40978 and 40987 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40978 and 40987, than apply into the LCM equation.

GCF(40978,40987) = 1
LCM(40978,40987) = ( 40978 × 40987) / 1
LCM(40978,40987) = 1679565286 / 1
LCM(40978,40987) = 1679565286

Least Common Multiple (LCM) of 40978 and 40987 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40978 and 40987. First we will calculate the prime factors of 40978 and 40987.

Prime Factorization of 40978

Prime Factorization of 40987

Now multiplying the highest exponent prime factors to calculate the LCM of 40978 and 40987.

LCM(40978,40987) = 2¹ × 7¹ × 2927¹ × 17¹ × 2411¹
LCM(40978,40987) = 1679565286