What is the Least Common Multiple of 54780 and 54795?

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 54780 and 54795 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54780 and 54795, than apply into the LCM equation.

GCF(54780,54795) = 15
LCM(54780,54795) = ( 54780 × 54795) / 15
LCM(54780,54795) = 3001670100 / 15
LCM(54780,54795) = 200111340

Least Common Multiple (LCM) of 54780 and 54795 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54780 and 54795. First we will calculate the prime factors of 54780 and 54795.

Prime Factorization of 54780

Prime Factorization of 54795

Now multiplying the highest exponent prime factors to calculate the LCM of 54780 and 54795.

LCM(54780,54795) = 2² × 3¹ × 5¹ × 11¹ × 83¹ × 13¹ × 281¹
LCM(54780,54795) = 200111340