What is the Least Common Multiple of 66142 and 66149?

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 66142 and 66149 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66142 and 66149, than apply into the LCM equation.

GCF(66142,66149) = 1
LCM(66142,66149) = ( 66142 × 66149) / 1
LCM(66142,66149) = 4375227158 / 1
LCM(66142,66149) = 4375227158

Least Common Multiple (LCM) of 66142 and 66149 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66142 and 66149. First we will calculate the prime factors of 66142 and 66149.

Prime Factorization of 66142

Prime Factorization of 66149

Now multiplying the highest exponent prime factors to calculate the LCM of 66142 and 66149.

LCM(66142,66149) = 2¹ × 33071¹ × 29¹ × 2281¹
LCM(66142,66149) = 4375227158