What is the Least Common Multiple of 96210 and 96216?

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 96210 and 96216 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96210 and 96216, than apply into the LCM equation.

GCF(96210,96216) = 6
LCM(96210,96216) = ( 96210 × 96216) / 6
LCM(96210,96216) = 9256941360 / 6
LCM(96210,96216) = 1542823560

Least Common Multiple (LCM) of 96210 and 96216 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96210 and 96216. First we will calculate the prime factors of 96210 and 96216.

Prime Factorization of 96210

Prime Factorization of 96216

Now multiplying the highest exponent prime factors to calculate the LCM of 96210 and 96216.

LCM(96210,96216) = 2³ × 3² × 5¹ × 1069¹ × 19¹ × 211¹
LCM(96210,96216) = 1542823560