What is the Least Common Multiple of 61215 and 61225?

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 61215 and 61225 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61215 and 61225, than apply into the LCM equation.

GCF(61215,61225) = 5
LCM(61215,61225) = ( 61215 × 61225) / 5
LCM(61215,61225) = 3747888375 / 5
LCM(61215,61225) = 749577675

Least Common Multiple (LCM) of 61215 and 61225 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61215 and 61225. First we will calculate the prime factors of 61215 and 61225.

Prime Factorization of 61215

Prime Factorization of 61225

Now multiplying the highest exponent prime factors to calculate the LCM of 61215 and 61225.

LCM(61215,61225) = 3¹ × 5² × 7¹ × 11¹ × 53¹ × 31¹ × 79¹
LCM(61215,61225) = 749577675