What is the Least Common Multiple of 64142 and 64149?

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 64142 and 64149 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64142 and 64149, than apply into the LCM equation.

GCF(64142,64149) = 1
LCM(64142,64149) = ( 64142 × 64149) / 1
LCM(64142,64149) = 4114645158 / 1
LCM(64142,64149) = 4114645158

Least Common Multiple (LCM) of 64142 and 64149 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64142 and 64149. First we will calculate the prime factors of 64142 and 64149.

Prime Factorization of 64142

Prime Factorization of 64149

Now multiplying the highest exponent prime factors to calculate the LCM of 64142 and 64149.

LCM(64142,64149) = 2¹ × 13¹ × 2467¹ × 3¹ × 21383¹
LCM(64142,64149) = 4114645158