What is the Least Common Multiple of 99195 and 99208?

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 99195 and 99208 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99195 and 99208, than apply into the LCM equation.

GCF(99195,99208) = 1
LCM(99195,99208) = ( 99195 × 99208) / 1
LCM(99195,99208) = 9840937560 / 1
LCM(99195,99208) = 9840937560

Least Common Multiple (LCM) of 99195 and 99208 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99195 and 99208. First we will calculate the prime factors of 99195 and 99208.

Prime Factorization of 99195

Prime Factorization of 99208

Now multiplying the highest exponent prime factors to calculate the LCM of 99195 and 99208.

LCM(99195,99208) = 3¹ × 5¹ × 17¹ × 389¹ × 2³ × 12401¹
LCM(99195,99208) = 9840937560