What is the Least Common Multiple of 40192 and 40209?

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 40192 and 40209 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40192 and 40209, than apply into the LCM equation.

GCF(40192,40209) = 1
LCM(40192,40209) = ( 40192 × 40209) / 1
LCM(40192,40209) = 1616080128 / 1
LCM(40192,40209) = 1616080128

Least Common Multiple (LCM) of 40192 and 40209 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40192 and 40209. First we will calculate the prime factors of 40192 and 40209.

Prime Factorization of 40192

Prime Factorization of 40209

Now multiplying the highest exponent prime factors to calculate the LCM of 40192 and 40209.

LCM(40192,40209) = 2⁸ × 157¹ × 3¹ × 13¹ × 1031¹
LCM(40192,40209) = 1616080128