What is the Least Common Multiple of 43146 and 43151?

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 43146 and 43151 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43146 and 43151, than apply into the LCM equation.

GCF(43146,43151) = 1
LCM(43146,43151) = ( 43146 × 43151) / 1
LCM(43146,43151) = 1861793046 / 1
LCM(43146,43151) = 1861793046

Least Common Multiple (LCM) of 43146 and 43151 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43146 and 43151. First we will calculate the prime factors of 43146 and 43151.

Prime Factorization of 43146

Prime Factorization of 43151

Now multiplying the highest exponent prime factors to calculate the LCM of 43146 and 43151.

LCM(43146,43151) = 2¹ × 3³ × 17¹ × 47¹ × 43151¹
LCM(43146,43151) = 1861793046