What is the Least Common Multiple of 64142 and 64148?

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 64148 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 64148, than apply into the LCM equation.

GCF(64142,64148) = 2
LCM(64142,64148) = ( 64142 × 64148) / 2
LCM(64142,64148) = 4114581016 / 2
LCM(64142,64148) = 2057290508

Least Common Multiple (LCM) of 64142 and 64148 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64142 and 64148. First we will calculate the prime factors of 64142 and 64148.

Prime Factorization of 64142

Prime Factorization of 64148

Now multiplying the highest exponent prime factors to calculate the LCM of 64142 and 64148.

LCM(64142,64148) = 2² × 13¹ × 2467¹ × 7¹ × 29¹ × 79¹
LCM(64142,64148) = 2057290508