What is the Least Common Multiple of 52142 and 52159?

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 52142 and 52159 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52142 and 52159, than apply into the LCM equation.

GCF(52142,52159) = 1
LCM(52142,52159) = ( 52142 × 52159) / 1
LCM(52142,52159) = 2719674578 / 1
LCM(52142,52159) = 2719674578

Least Common Multiple (LCM) of 52142 and 52159 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52142 and 52159. First we will calculate the prime factors of 52142 and 52159.

Prime Factorization of 52142

Prime Factorization of 52159

Now multiplying the highest exponent prime factors to calculate the LCM of 52142 and 52159.

LCM(52142,52159) = 2¹ × 29² × 31¹ × 43¹ × 1213¹
LCM(52142,52159) = 2719674578