What is the Least Common Multiple of 99746 and 99751?

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 99746 and 99751 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99746 and 99751, than apply into the LCM equation.

GCF(99746,99751) = 1
LCM(99746,99751) = ( 99746 × 99751) / 1
LCM(99746,99751) = 9949763246 / 1
LCM(99746,99751) = 9949763246

Least Common Multiple (LCM) of 99746 and 99751 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99746 and 99751. First we will calculate the prime factors of 99746 and 99751.

Prime Factorization of 99746

Prime Factorization of 99751

Now multiplying the highest exponent prime factors to calculate the LCM of 99746 and 99751.

LCM(99746,99751) = 2¹ × 53¹ × 941¹ × 23¹ × 4337¹
LCM(99746,99751) = 9949763246