What is the Least Common Multiple of 5215 and 5235?

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 5215 and 5235 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5215 and 5235, than apply into the LCM equation.

GCF(5215,5235) = 5
LCM(5215,5235) = ( 5215 × 5235) / 5
LCM(5215,5235) = 27300525 / 5
LCM(5215,5235) = 5460105

Least Common Multiple (LCM) of 5215 and 5235 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5215 and 5235. First we will calculate the prime factors of 5215 and 5235.

Prime Factorization of 5215

Prime Factorization of 5235

Now multiplying the highest exponent prime factors to calculate the LCM of 5215 and 5235.

LCM(5215,5235) = 5¹ × 7¹ × 149¹ × 3¹ × 349¹
LCM(5215,5235) = 5460105