What is the Least Common Multiple of 75065 and 75078?

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 75065 and 75078 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75065 and 75078, than apply into the LCM equation.

GCF(75065,75078) = 1
LCM(75065,75078) = ( 75065 × 75078) / 1
LCM(75065,75078) = 5635730070 / 1
LCM(75065,75078) = 5635730070

Least Common Multiple (LCM) of 75065 and 75078 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75065 and 75078. First we will calculate the prime factors of 75065 and 75078.

Prime Factorization of 75065

Prime Factorization of 75078

Now multiplying the highest exponent prime factors to calculate the LCM of 75065 and 75078.

LCM(75065,75078) = 5¹ × 15013¹ × 2¹ × 3² × 43¹ × 97¹
LCM(75065,75078) = 5635730070