What is the Least Common Multiple of 93100 and 93119?

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 93100 and 93119 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93100 and 93119, than apply into the LCM equation.

GCF(93100,93119) = 19
LCM(93100,93119) = ( 93100 × 93119) / 19
LCM(93100,93119) = 8669378900 / 19
LCM(93100,93119) = 456283100

Least Common Multiple (LCM) of 93100 and 93119 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93100 and 93119. First we will calculate the prime factors of 93100 and 93119.

Prime Factorization of 93100

Prime Factorization of 93119

Now multiplying the highest exponent prime factors to calculate the LCM of 93100 and 93119.

LCM(93100,93119) = 2² × 5² × 7² × 19¹ × 13² × 29¹
LCM(93100,93119) = 456283100