What is the Least Common Multiple of 78042 and 78046?

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 78042 and 78046 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78042 and 78046, than apply into the LCM equation.

GCF(78042,78046) = 2
LCM(78042,78046) = ( 78042 × 78046) / 2
LCM(78042,78046) = 6090865932 / 2
LCM(78042,78046) = 3045432966

Least Common Multiple (LCM) of 78042 and 78046 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78042 and 78046. First we will calculate the prime factors of 78042 and 78046.

Prime Factorization of 78042

Prime Factorization of 78046

Now multiplying the highest exponent prime factors to calculate the LCM of 78042 and 78046.

LCM(78042,78046) = 2¹ × 3¹ × 13007¹ × 39023¹
LCM(78042,78046) = 3045432966