What is the Least Common Multiple of 99210 and 99215?

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 99210 and 99215 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99210 and 99215, than apply into the LCM equation.

GCF(99210,99215) = 5
LCM(99210,99215) = ( 99210 × 99215) / 5
LCM(99210,99215) = 9843120150 / 5
LCM(99210,99215) = 1968624030

Least Common Multiple (LCM) of 99210 and 99215 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99210 and 99215. First we will calculate the prime factors of 99210 and 99215.

Prime Factorization of 99210

Prime Factorization of 99215

Now multiplying the highest exponent prime factors to calculate the LCM of 99210 and 99215.

LCM(99210,99215) = 2¹ × 3¹ × 5¹ × 3307¹ × 19843¹
LCM(99210,99215) = 1968624030