What is the Least Common Multiple of 73198 and 73216?

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 73198 and 73216 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73198 and 73216, than apply into the LCM equation.

GCF(73198,73216) = 2
LCM(73198,73216) = ( 73198 × 73216) / 2
LCM(73198,73216) = 5359264768 / 2
LCM(73198,73216) = 2679632384

Least Common Multiple (LCM) of 73198 and 73216 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73198 and 73216. First we will calculate the prime factors of 73198 and 73216.

Prime Factorization of 73198

Prime Factorization of 73216

Now multiplying the highest exponent prime factors to calculate the LCM of 73198 and 73216.

LCM(73198,73216) = 2⁹ × 36599¹ × 11¹ × 13¹
LCM(73198,73216) = 2679632384