What is the Least Common Multiple of 34215 and 34232?

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 34215 and 34232 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34215 and 34232, than apply into the LCM equation.

GCF(34215,34232) = 1
LCM(34215,34232) = ( 34215 × 34232) / 1
LCM(34215,34232) = 1171247880 / 1
LCM(34215,34232) = 1171247880

Least Common Multiple (LCM) of 34215 and 34232 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34215 and 34232. First we will calculate the prime factors of 34215 and 34232.

Prime Factorization of 34215

Prime Factorization of 34232

Now multiplying the highest exponent prime factors to calculate the LCM of 34215 and 34232.

LCM(34215,34232) = 3¹ × 5¹ × 2281¹ × 2³ × 11¹ × 389¹
LCM(34215,34232) = 1171247880