What is the Least Common Multiple of 54300 and 54313?

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 54300 and 54313 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54300 and 54313, than apply into the LCM equation.

GCF(54300,54313) = 1
LCM(54300,54313) = ( 54300 × 54313) / 1
LCM(54300,54313) = 2949195900 / 1
LCM(54300,54313) = 2949195900

Least Common Multiple (LCM) of 54300 and 54313 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54300 and 54313. First we will calculate the prime factors of 54300 and 54313.

Prime Factorization of 54300

Prime Factorization of 54313

Now multiplying the highest exponent prime factors to calculate the LCM of 54300 and 54313.

LCM(54300,54313) = 2² × 3¹ × 5² × 181¹ × 7¹ × 7759¹
LCM(54300,54313) = 2949195900