What is the Least Common Multiple of 73065 and 73078?

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 73065 and 73078 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73065 and 73078, than apply into the LCM equation.

GCF(73065,73078) = 1
LCM(73065,73078) = ( 73065 × 73078) / 1
LCM(73065,73078) = 5339444070 / 1
LCM(73065,73078) = 5339444070

Least Common Multiple (LCM) of 73065 and 73078 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73065 and 73078. First we will calculate the prime factors of 73065 and 73078.

Prime Factorization of 73065

Prime Factorization of 73078

Now multiplying the highest exponent prime factors to calculate the LCM of 73065 and 73078.

LCM(73065,73078) = 3¹ × 5¹ × 4871¹ × 2¹ × 61¹ × 599¹
LCM(73065,73078) = 5339444070