What is the Least Common Multiple of 40280 and 40299?

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 40280 and 40299 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40280 and 40299, than apply into the LCM equation.

GCF(40280,40299) = 19
LCM(40280,40299) = ( 40280 × 40299) / 19
LCM(40280,40299) = 1623243720 / 19
LCM(40280,40299) = 85433880

Least Common Multiple (LCM) of 40280 and 40299 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40280 and 40299. First we will calculate the prime factors of 40280 and 40299.

Prime Factorization of 40280

Prime Factorization of 40299

Now multiplying the highest exponent prime factors to calculate the LCM of 40280 and 40299.

LCM(40280,40299) = 2³ × 5¹ × 19¹ × 53¹ × 3¹ × 7¹ × 101¹
LCM(40280,40299) = 85433880