What is the Least Common Multiple of 99038 and 99056?

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 99038 and 99056 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99038 and 99056, than apply into the LCM equation.

GCF(99038,99056) = 2
LCM(99038,99056) = ( 99038 × 99056) / 2
LCM(99038,99056) = 9810308128 / 2
LCM(99038,99056) = 4905154064

Least Common Multiple (LCM) of 99038 and 99056 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99038 and 99056. First we will calculate the prime factors of 99038 and 99056.

Prime Factorization of 99038

Prime Factorization of 99056

Now multiplying the highest exponent prime factors to calculate the LCM of 99038 and 99056.

LCM(99038,99056) = 2⁴ × 23¹ × 2153¹ × 41¹ × 151¹
LCM(99038,99056) = 4905154064