What is the Least Common Multiple of 72192 and 72210?

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 72192 and 72210 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72192 and 72210, than apply into the LCM equation.

GCF(72192,72210) = 6
LCM(72192,72210) = ( 72192 × 72210) / 6
LCM(72192,72210) = 5212984320 / 6
LCM(72192,72210) = 868830720

Least Common Multiple (LCM) of 72192 and 72210 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72192 and 72210. First we will calculate the prime factors of 72192 and 72210.

Prime Factorization of 72192

Prime Factorization of 72210

Now multiplying the highest exponent prime factors to calculate the LCM of 72192 and 72210.

LCM(72192,72210) = 2⁹ × 3¹ × 47¹ × 5¹ × 29¹ × 83¹
LCM(72192,72210) = 868830720