What is the Least Common Multiple of 58300 and 58312?

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 58300 and 58312 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58300 and 58312, than apply into the LCM equation.

GCF(58300,58312) = 4
LCM(58300,58312) = ( 58300 × 58312) / 4
LCM(58300,58312) = 3399589600 / 4
LCM(58300,58312) = 849897400

Least Common Multiple (LCM) of 58300 and 58312 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58300 and 58312. First we will calculate the prime factors of 58300 and 58312.

Prime Factorization of 58300

Prime Factorization of 58312

Now multiplying the highest exponent prime factors to calculate the LCM of 58300 and 58312.

LCM(58300,58312) = 2³ × 5² × 11¹ × 53¹ × 37¹ × 197¹
LCM(58300,58312) = 849897400