What is the Least Common Multiple of 73209 and 73218?

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 73209 and 73218 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73209 and 73218, than apply into the LCM equation.

GCF(73209,73218) = 3
LCM(73209,73218) = ( 73209 × 73218) / 3
LCM(73209,73218) = 5360216562 / 3
LCM(73209,73218) = 1786738854

Least Common Multiple (LCM) of 73209 and 73218 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73209 and 73218. First we will calculate the prime factors of 73209 and 73218.

Prime Factorization of 73209

Prime Factorization of 73218

Now multiplying the highest exponent prime factors to calculate the LCM of 73209 and 73218.

LCM(73209,73218) = 3¹ × 23¹ × 1061¹ × 2¹ × 12203¹
LCM(73209,73218) = 1786738854