What is the Least Common Multiple of 99308 and 99319?

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 99308 and 99319 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99308 and 99319, than apply into the LCM equation.

GCF(99308,99319) = 11
LCM(99308,99319) = ( 99308 × 99319) / 11
LCM(99308,99319) = 9863171252 / 11
LCM(99308,99319) = 896651932

Least Common Multiple (LCM) of 99308 and 99319 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99308 and 99319. First we will calculate the prime factors of 99308 and 99319.

Prime Factorization of 99308

Prime Factorization of 99319

Now multiplying the highest exponent prime factors to calculate the LCM of 99308 and 99319.

LCM(99308,99319) = 2² × 11¹ × 37¹ × 61¹ × 9029¹
LCM(99308,99319) = 896651932