What is the Least Common Multiple of 43215 and 43235?

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 43215 and 43235 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43215 and 43235, than apply into the LCM equation.

GCF(43215,43235) = 5
LCM(43215,43235) = ( 43215 × 43235) / 5
LCM(43215,43235) = 1868400525 / 5
LCM(43215,43235) = 373680105

Least Common Multiple (LCM) of 43215 and 43235 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43215 and 43235. First we will calculate the prime factors of 43215 and 43235.

Prime Factorization of 43215

Prime Factorization of 43235

Now multiplying the highest exponent prime factors to calculate the LCM of 43215 and 43235.

LCM(43215,43235) = 3¹ × 5¹ × 43¹ × 67¹ × 8647¹
LCM(43215,43235) = 373680105