What is the Least Common Multiple of 1215 and 1235?

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 1215 and 1235 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1215 and 1235, than apply into the LCM equation.

GCF(1215,1235) = 5
LCM(1215,1235) = ( 1215 × 1235) / 5
LCM(1215,1235) = 1500525 / 5
LCM(1215,1235) = 300105

Least Common Multiple (LCM) of 1215 and 1235 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1215 and 1235. First we will calculate the prime factors of 1215 and 1235.

Prime Factorization of 1215

Prime Factorization of 1235

Now multiplying the highest exponent prime factors to calculate the LCM of 1215 and 1235.

LCM(1215,1235) = 3⁵ × 5¹ × 13¹ × 19¹
LCM(1215,1235) = 300105