What is the Least Common Multiple of 40172 and 40186?

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 40172 and 40186 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40172 and 40186, than apply into the LCM equation.

GCF(40172,40186) = 2
LCM(40172,40186) = ( 40172 × 40186) / 2
LCM(40172,40186) = 1614351992 / 2
LCM(40172,40186) = 807175996

Least Common Multiple (LCM) of 40172 and 40186 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40172 and 40186. First we will calculate the prime factors of 40172 and 40186.

Prime Factorization of 40172

Prime Factorization of 40186

Now multiplying the highest exponent prime factors to calculate the LCM of 40172 and 40186.

LCM(40172,40186) = 2² × 11² × 83¹ × 71¹ × 283¹
LCM(40172,40186) = 807175996