What is the Least Common Multiple of 84915 and 84930?

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 84915 and 84930 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84915 and 84930, than apply into the LCM equation.

GCF(84915,84930) = 15
LCM(84915,84930) = ( 84915 × 84930) / 15
LCM(84915,84930) = 7211830950 / 15
LCM(84915,84930) = 480788730

Least Common Multiple (LCM) of 84915 and 84930 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84915 and 84930. First we will calculate the prime factors of 84915 and 84930.

Prime Factorization of 84915

Prime Factorization of 84930

Now multiplying the highest exponent prime factors to calculate the LCM of 84915 and 84930.

LCM(84915,84930) = 3³ × 5¹ × 17¹ × 37¹ × 2¹ × 19¹ × 149¹
LCM(84915,84930) = 480788730