What is the Least Common Multiple of 99190 and 99205?

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 99205 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 99205, than apply into the LCM equation.

GCF(99190,99205) = 5
LCM(99190,99205) = ( 99190 × 99205) / 5
LCM(99190,99205) = 9840143950 / 5
LCM(99190,99205) = 1968028790

Least Common Multiple (LCM) of 99190 and 99205 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99190 and 99205. First we will calculate the prime factors of 99190 and 99205.

Prime Factorization of 99190

Prime Factorization of 99205

Now multiplying the highest exponent prime factors to calculate the LCM of 99190 and 99205.

LCM(99190,99205) = 2¹ × 5¹ × 7¹ × 13¹ × 109¹ × 19841¹
LCM(99190,99205) = 1968028790