What is the Least Common Multiple of 64142 and 64159?

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 64159 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 64159, than apply into the LCM equation.

GCF(64142,64159) = 1
LCM(64142,64159) = ( 64142 × 64159) / 1
LCM(64142,64159) = 4115286578 / 1
LCM(64142,64159) = 4115286578

Least Common Multiple (LCM) of 64142 and 64159 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64142 and 64159. First we will calculate the prime factors of 64142 and 64159.

Prime Factorization of 64142

Prime Factorization of 64159

Now multiplying the highest exponent prime factors to calculate the LCM of 64142 and 64159.

LCM(64142,64159) = 2¹ × 13¹ × 2467¹ × 83¹ × 773¹
LCM(64142,64159) = 4115286578