What is the Least Common Multiple of 73215 and 73222?

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 73215 and 73222 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73215 and 73222, than apply into the LCM equation.

GCF(73215,73222) = 1
LCM(73215,73222) = ( 73215 × 73222) / 1
LCM(73215,73222) = 5360948730 / 1
LCM(73215,73222) = 5360948730

Least Common Multiple (LCM) of 73215 and 73222 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73215 and 73222. First we will calculate the prime factors of 73215 and 73222.

Prime Factorization of 73215

Prime Factorization of 73222

Now multiplying the highest exponent prime factors to calculate the LCM of 73215 and 73222.

LCM(73215,73222) = 3² × 5¹ × 1627¹ × 2¹ × 31¹ × 1181¹
LCM(73215,73222) = 5360948730