What is the Least Common Multiple of 39142 and 39159?

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 39142 and 39159 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39142 and 39159, than apply into the LCM equation.

GCF(39142,39159) = 1
LCM(39142,39159) = ( 39142 × 39159) / 1
LCM(39142,39159) = 1532761578 / 1
LCM(39142,39159) = 1532761578

Least Common Multiple (LCM) of 39142 and 39159 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39142 and 39159. First we will calculate the prime factors of 39142 and 39159.

Prime Factorization of 39142

Prime Factorization of 39159

Now multiplying the highest exponent prime factors to calculate the LCM of 39142 and 39159.

LCM(39142,39159) = 2¹ × 19571¹ × 3² × 19¹ × 229¹
LCM(39142,39159) = 1532761578