What is the Least Common Multiple of 33142 and 33159?

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 33142 and 33159 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33142 and 33159, than apply into the LCM equation.

GCF(33142,33159) = 1
LCM(33142,33159) = ( 33142 × 33159) / 1
LCM(33142,33159) = 1098955578 / 1
LCM(33142,33159) = 1098955578

Least Common Multiple (LCM) of 33142 and 33159 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33142 and 33159. First we will calculate the prime factors of 33142 and 33159.

Prime Factorization of 33142

Prime Factorization of 33159

Now multiplying the highest exponent prime factors to calculate the LCM of 33142 and 33159.

LCM(33142,33159) = 2¹ × 73¹ × 227¹ × 3¹ × 7¹ × 1579¹
LCM(33142,33159) = 1098955578