What is the Least Common Multiple of 84911 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 84911 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 84911 and 84930, than apply into the LCM equation.

GCF(84911,84930) = 19
LCM(84911,84930) = ( 84911 × 84930) / 19
LCM(84911,84930) = 7211491230 / 19
LCM(84911,84930) = 379552170

Least Common Multiple (LCM) of 84911 and 84930 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84911 and 84930. First we will calculate the prime factors of 84911 and 84930.

Prime Factorization of 84911

Prime Factorization of 84930

Now multiplying the highest exponent prime factors to calculate the LCM of 84911 and 84930.

LCM(84911,84930) = 19¹ × 41¹ × 109¹ × 2¹ × 3¹ × 5¹ × 149¹
LCM(84911,84930) = 379552170