What is the Least Common Multiple of 99250 and 99255?

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 99250 and 99255 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99250 and 99255, than apply into the LCM equation.

GCF(99250,99255) = 5
LCM(99250,99255) = ( 99250 × 99255) / 5
LCM(99250,99255) = 9851058750 / 5
LCM(99250,99255) = 1970211750

Least Common Multiple (LCM) of 99250 and 99255 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99250 and 99255. First we will calculate the prime factors of 99250 and 99255.

Prime Factorization of 99250

Prime Factorization of 99255

Now multiplying the highest exponent prime factors to calculate the LCM of 99250 and 99255.

LCM(99250,99255) = 2¹ × 5³ × 397¹ × 3¹ × 13¹ × 509¹
LCM(99250,99255) = 1970211750