What is the Least Common Multiple of 98901 and 98912?

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 98901 and 98912 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98901 and 98912, than apply into the LCM equation.

GCF(98901,98912) = 11
LCM(98901,98912) = ( 98901 × 98912) / 11
LCM(98901,98912) = 9782495712 / 11
LCM(98901,98912) = 889317792

Least Common Multiple (LCM) of 98901 and 98912 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98901 and 98912. First we will calculate the prime factors of 98901 and 98912.

Prime Factorization of 98901

Prime Factorization of 98912

Now multiplying the highest exponent prime factors to calculate the LCM of 98901 and 98912.

LCM(98901,98912) = 3⁵ × 11¹ × 37¹ × 2⁵ × 281¹
LCM(98901,98912) = 889317792