What is the Least Common Multiple of 84909 and 84915?

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 84909 and 84915 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84909 and 84915, than apply into the LCM equation.

GCF(84909,84915) = 3
LCM(84909,84915) = ( 84909 × 84915) / 3
LCM(84909,84915) = 7210047735 / 3
LCM(84909,84915) = 2403349245

Least Common Multiple (LCM) of 84909 and 84915 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84909 and 84915. First we will calculate the prime factors of 84909 and 84915.

Prime Factorization of 84909

Prime Factorization of 84915

Now multiplying the highest exponent prime factors to calculate the LCM of 84909 and 84915.

LCM(84909,84915) = 3³ × 11¹ × 31¹ × 83¹ × 5¹ × 17¹ × 37¹
LCM(84909,84915) = 2403349245