What is the Least Common Multiple of 99300 and 99308?

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 99300 and 99308 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99300 and 99308, than apply into the LCM equation.

GCF(99300,99308) = 4
LCM(99300,99308) = ( 99300 × 99308) / 4
LCM(99300,99308) = 9861284400 / 4
LCM(99300,99308) = 2465321100

Least Common Multiple (LCM) of 99300 and 99308 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99300 and 99308. First we will calculate the prime factors of 99300 and 99308.

Prime Factorization of 99300

Prime Factorization of 99308

Now multiplying the highest exponent prime factors to calculate the LCM of 99300 and 99308.

LCM(99300,99308) = 2² × 3¹ × 5² × 331¹ × 11¹ × 37¹ × 61¹
LCM(99300,99308) = 2465321100