What is the Least Common Multiple of 42909 and 42915?

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 42909 and 42915 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42909 and 42915, than apply into the LCM equation.

GCF(42909,42915) = 3
LCM(42909,42915) = ( 42909 × 42915) / 3
LCM(42909,42915) = 1841439735 / 3
LCM(42909,42915) = 613813245

Least Common Multiple (LCM) of 42909 and 42915 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42909 and 42915. First we will calculate the prime factors of 42909 and 42915.

Prime Factorization of 42909

Prime Factorization of 42915

Now multiplying the highest exponent prime factors to calculate the LCM of 42909 and 42915.

LCM(42909,42915) = 3¹ × 14303¹ × 5¹ × 2861¹
LCM(42909,42915) = 613813245