What is the Least Common Multiple of 84360 and 84372?

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 84360 and 84372 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84360 and 84372, than apply into the LCM equation.

GCF(84360,84372) = 12
LCM(84360,84372) = ( 84360 × 84372) / 12
LCM(84360,84372) = 7117621920 / 12
LCM(84360,84372) = 593135160

Least Common Multiple (LCM) of 84360 and 84372 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84360 and 84372. First we will calculate the prime factors of 84360 and 84372.

Prime Factorization of 84360

Prime Factorization of 84372

Now multiplying the highest exponent prime factors to calculate the LCM of 84360 and 84372.

LCM(84360,84372) = 2³ × 3¹ × 5¹ × 19¹ × 37¹ × 79¹ × 89¹
LCM(84360,84372) = 593135160