What is the Least Common Multiple of 99783 and 99801?

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 99783 and 99801 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99783 and 99801, than apply into the LCM equation.

GCF(99783,99801) = 9
LCM(99783,99801) = ( 99783 × 99801) / 9
LCM(99783,99801) = 9958443183 / 9
LCM(99783,99801) = 1106493687

Least Common Multiple (LCM) of 99783 and 99801 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99783 and 99801. First we will calculate the prime factors of 99783 and 99801.

Prime Factorization of 99783

Prime Factorization of 99801

Now multiplying the highest exponent prime factors to calculate the LCM of 99783 and 99801.

LCM(99783,99801) = 3² × 11087¹ × 13¹ × 853¹
LCM(99783,99801) = 1106493687