What is the Least Common Multiple of 99190 and 99210?

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 99190 and 99210 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99190 and 99210, than apply into the LCM equation.

GCF(99190,99210) = 10
LCM(99190,99210) = ( 99190 × 99210) / 10
LCM(99190,99210) = 9840639900 / 10
LCM(99190,99210) = 984063990

Least Common Multiple (LCM) of 99190 and 99210 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99190 and 99210. First we will calculate the prime factors of 99190 and 99210.

Prime Factorization of 99190

Prime Factorization of 99210

Now multiplying the highest exponent prime factors to calculate the LCM of 99190 and 99210.

LCM(99190,99210) = 2¹ × 5¹ × 7¹ × 13¹ × 109¹ × 3¹ × 3307¹
LCM(99190,99210) = 984063990