What is the Least Common Multiple of 81210 and 81215?

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 81210 and 81215 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81210 and 81215, than apply into the LCM equation.

GCF(81210,81215) = 5
LCM(81210,81215) = ( 81210 × 81215) / 5
LCM(81210,81215) = 6595470150 / 5
LCM(81210,81215) = 1319094030

Least Common Multiple (LCM) of 81210 and 81215 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81210 and 81215. First we will calculate the prime factors of 81210 and 81215.

Prime Factorization of 81210

Prime Factorization of 81215

Now multiplying the highest exponent prime factors to calculate the LCM of 81210 and 81215.

LCM(81210,81215) = 2¹ × 3¹ × 5¹ × 2707¹ × 37¹ × 439¹
LCM(81210,81215) = 1319094030