What is the Least Common Multiple of 80034 and 80042?

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 80034 and 80042 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80034 and 80042, than apply into the LCM equation.

GCF(80034,80042) = 2
LCM(80034,80042) = ( 80034 × 80042) / 2
LCM(80034,80042) = 6406081428 / 2
LCM(80034,80042) = 3203040714

Least Common Multiple (LCM) of 80034 and 80042 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80034 and 80042. First we will calculate the prime factors of 80034 and 80042.

Prime Factorization of 80034

Prime Factorization of 80042

Now multiplying the highest exponent prime factors to calculate the LCM of 80034 and 80042.

LCM(80034,80042) = 2¹ × 3¹ × 13339¹ × 31¹ × 1291¹
LCM(80034,80042) = 3203040714