What is the Least Common Multiple of 30172 and 30186?

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 30172 and 30186 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30172 and 30186, than apply into the LCM equation.

GCF(30172,30186) = 2
LCM(30172,30186) = ( 30172 × 30186) / 2
LCM(30172,30186) = 910771992 / 2
LCM(30172,30186) = 455385996

Least Common Multiple (LCM) of 30172 and 30186 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30172 and 30186. First we will calculate the prime factors of 30172 and 30186.

Prime Factorization of 30172

Prime Factorization of 30186

Now multiplying the highest exponent prime factors to calculate the LCM of 30172 and 30186.

LCM(30172,30186) = 2² × 19¹ × 397¹ × 3³ × 13¹ × 43¹
LCM(30172,30186) = 455385996