What is the Least Common Multiple of 99769 and 99789?

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 99769 and 99789 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99769 and 99789, than apply into the LCM equation.

GCF(99769,99789) = 1
LCM(99769,99789) = ( 99769 × 99789) / 1
LCM(99769,99789) = 9955848741 / 1
LCM(99769,99789) = 9955848741

Least Common Multiple (LCM) of 99769 and 99789 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99769 and 99789. First we will calculate the prime factors of 99769 and 99789.

Prime Factorization of 99769

Prime Factorization of 99789

Now multiplying the highest exponent prime factors to calculate the LCM of 99769 and 99789.

LCM(99769,99789) = 19¹ × 59¹ × 89¹ × 3¹ × 29¹ × 31¹ × 37¹
LCM(99769,99789) = 9955848741