What is the Least Common Multiple of 4215 and 4235?

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 4215 and 4235 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4215 and 4235, than apply into the LCM equation.

GCF(4215,4235) = 5
LCM(4215,4235) = ( 4215 × 4235) / 5
LCM(4215,4235) = 17850525 / 5
LCM(4215,4235) = 3570105

Least Common Multiple (LCM) of 4215 and 4235 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4215 and 4235. First we will calculate the prime factors of 4215 and 4235.

Prime Factorization of 4215

Prime Factorization of 4235

Now multiplying the highest exponent prime factors to calculate the LCM of 4215 and 4235.

LCM(4215,4235) = 3¹ × 5¹ × 281¹ × 7¹ × 11²
LCM(4215,4235) = 3570105