What is the Least Common Multiple of 89902 and 89909?

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 89902 and 89909 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89902 and 89909, than apply into the LCM equation.

GCF(89902,89909) = 1
LCM(89902,89909) = ( 89902 × 89909) / 1
LCM(89902,89909) = 8082998918 / 1
LCM(89902,89909) = 8082998918

Least Common Multiple (LCM) of 89902 and 89909 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89902 and 89909. First we will calculate the prime factors of 89902 and 89909.

Prime Factorization of 89902

Prime Factorization of 89909

Now multiplying the highest exponent prime factors to calculate the LCM of 89902 and 89909.

LCM(89902,89909) = 2¹ × 79¹ × 569¹ × 89909¹
LCM(89902,89909) = 8082998918