What is the Least Common Multiple of 54980 and 54999?

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 54980 and 54999 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54980 and 54999, than apply into the LCM equation.

GCF(54980,54999) = 1
LCM(54980,54999) = ( 54980 × 54999) / 1
LCM(54980,54999) = 3023845020 / 1
LCM(54980,54999) = 3023845020

Least Common Multiple (LCM) of 54980 and 54999 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54980 and 54999. First we will calculate the prime factors of 54980 and 54999.

Prime Factorization of 54980

Prime Factorization of 54999

Now multiplying the highest exponent prime factors to calculate the LCM of 54980 and 54999.

LCM(54980,54999) = 2² × 5¹ × 2749¹ × 3⁴ × 7¹ × 97¹
LCM(54980,54999) = 3023845020