What is the Least Common Multiple of 78029 and 78042?

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 78029 and 78042 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78029 and 78042, than apply into the LCM equation.

GCF(78029,78042) = 1
LCM(78029,78042) = ( 78029 × 78042) / 1
LCM(78029,78042) = 6089539218 / 1
LCM(78029,78042) = 6089539218

Least Common Multiple (LCM) of 78029 and 78042 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78029 and 78042. First we will calculate the prime factors of 78029 and 78042.

Prime Factorization of 78029

Prime Factorization of 78042

Now multiplying the highest exponent prime factors to calculate the LCM of 78029 and 78042.

LCM(78029,78042) = 7¹ × 71¹ × 157¹ × 2¹ × 3¹ × 13007¹
LCM(78029,78042) = 6089539218