What is the Least Common Multiple of 73242 and 73261?

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 73242 and 73261 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73242 and 73261, than apply into the LCM equation.

GCF(73242,73261) = 1
LCM(73242,73261) = ( 73242 × 73261) / 1
LCM(73242,73261) = 5365782162 / 1
LCM(73242,73261) = 5365782162

Least Common Multiple (LCM) of 73242 and 73261 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73242 and 73261. First we will calculate the prime factors of 73242 and 73261.

Prime Factorization of 73242

Prime Factorization of 73261

Now multiplying the highest exponent prime factors to calculate the LCM of 73242 and 73261.

LCM(73242,73261) = 2¹ × 3² × 13¹ × 313¹ × 61¹ × 1201¹
LCM(73242,73261) = 5365782162