What is the Least Common Multiple of 60142 and 60149?

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 60142 and 60149 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60142 and 60149, than apply into the LCM equation.

GCF(60142,60149) = 1
LCM(60142,60149) = ( 60142 × 60149) / 1
LCM(60142,60149) = 3617481158 / 1
LCM(60142,60149) = 3617481158

Least Common Multiple (LCM) of 60142 and 60149 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60142 and 60149. First we will calculate the prime factors of 60142 and 60149.

Prime Factorization of 60142

Prime Factorization of 60149

Now multiplying the highest exponent prime factors to calculate the LCM of 60142 and 60149.

LCM(60142,60149) = 2¹ × 30071¹ × 60149¹
LCM(60142,60149) = 3617481158