What is the Least Common Multiple of 4146 and 4151?

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 4146 and 4151 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4146 and 4151, than apply into the LCM equation.

GCF(4146,4151) = 1
LCM(4146,4151) = ( 4146 × 4151) / 1
LCM(4146,4151) = 17210046 / 1
LCM(4146,4151) = 17210046

Least Common Multiple (LCM) of 4146 and 4151 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4146 and 4151. First we will calculate the prime factors of 4146 and 4151.

Prime Factorization of 4146

Prime Factorization of 4151

Now multiplying the highest exponent prime factors to calculate the LCM of 4146 and 4151.

LCM(4146,4151) = 2¹ × 3¹ × 691¹ × 7¹ × 593¹
LCM(4146,4151) = 17210046