What is the Least Common Multiple of 73216 and 73229?

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 73216 and 73229 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73216 and 73229, than apply into the LCM equation.

GCF(73216,73229) = 13
LCM(73216,73229) = ( 73216 × 73229) / 13
LCM(73216,73229) = 5361534464 / 13
LCM(73216,73229) = 412425728

Least Common Multiple (LCM) of 73216 and 73229 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73216 and 73229. First we will calculate the prime factors of 73216 and 73229.

Prime Factorization of 73216

Prime Factorization of 73229

Now multiplying the highest exponent prime factors to calculate the LCM of 73216 and 73229.

LCM(73216,73229) = 2⁹ × 11¹ × 13¹ × 43¹ × 131¹
LCM(73216,73229) = 412425728