What is the Least Common Multiple of 70902 and 70911?

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 70902 and 70911 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70902 and 70911, than apply into the LCM equation.

GCF(70902,70911) = 9
LCM(70902,70911) = ( 70902 × 70911) / 9
LCM(70902,70911) = 5027731722 / 9
LCM(70902,70911) = 558636858

Least Common Multiple (LCM) of 70902 and 70911 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70902 and 70911. First we will calculate the prime factors of 70902 and 70911.

Prime Factorization of 70902

Prime Factorization of 70911

Now multiplying the highest exponent prime factors to calculate the LCM of 70902 and 70911.

LCM(70902,70911) = 2¹ × 3³ × 13¹ × 101¹ × 7879¹
LCM(70902,70911) = 558636858