What is the Least Common Multiple of 73245 and 73251?

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 73245 and 73251 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73245 and 73251, than apply into the LCM equation.

GCF(73245,73251) = 3
LCM(73245,73251) = ( 73245 × 73251) / 3
LCM(73245,73251) = 5365269495 / 3
LCM(73245,73251) = 1788423165

Least Common Multiple (LCM) of 73245 and 73251 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73245 and 73251. First we will calculate the prime factors of 73245 and 73251.

Prime Factorization of 73245

Prime Factorization of 73251

Now multiplying the highest exponent prime factors to calculate the LCM of 73245 and 73251.

LCM(73245,73251) = 3³ × 5¹ × 19¹ × 257¹ × 2713¹
LCM(73245,73251) = 1788423165