What is the Least Common Multiple of 43175 and 43186?

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 43175 and 43186 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43175 and 43186, than apply into the LCM equation.

GCF(43175,43186) = 11
LCM(43175,43186) = ( 43175 × 43186) / 11
LCM(43175,43186) = 1864555550 / 11
LCM(43175,43186) = 169505050

Least Common Multiple (LCM) of 43175 and 43186 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43175 and 43186. First we will calculate the prime factors of 43175 and 43186.

Prime Factorization of 43175

Prime Factorization of 43186

Now multiplying the highest exponent prime factors to calculate the LCM of 43175 and 43186.

LCM(43175,43186) = 5² × 11¹ × 157¹ × 2¹ × 13¹ × 151¹
LCM(43175,43186) = 169505050