What is the Least Common Multiple of 70909 and 70915?

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 70909 and 70915 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70909 and 70915, than apply into the LCM equation.

GCF(70909,70915) = 1
LCM(70909,70915) = ( 70909 × 70915) / 1
LCM(70909,70915) = 5028511735 / 1
LCM(70909,70915) = 5028511735

Least Common Multiple (LCM) of 70909 and 70915 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70909 and 70915. First we will calculate the prime factors of 70909 and 70915.

Prime Factorization of 70909

Prime Factorization of 70915

Now multiplying the highest exponent prime factors to calculate the LCM of 70909 and 70915.

LCM(70909,70915) = 23¹ × 3083¹ × 5¹ × 13¹ × 1091¹
LCM(70909,70915) = 5028511735