What is the Least Common Multiple of 5073 and 5078?

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 5073 and 5078 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5073 and 5078, than apply into the LCM equation.

GCF(5073,5078) = 1
LCM(5073,5078) = ( 5073 × 5078) / 1
LCM(5073,5078) = 25760694 / 1
LCM(5073,5078) = 25760694

Least Common Multiple (LCM) of 5073 and 5078 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5073 and 5078. First we will calculate the prime factors of 5073 and 5078.

Prime Factorization of 5073

Prime Factorization of 5078

Now multiplying the highest exponent prime factors to calculate the LCM of 5073 and 5078.

LCM(5073,5078) = 3¹ × 19¹ × 89¹ × 2¹ × 2539¹
LCM(5073,5078) = 25760694