What is the Least Common Multiple of 54600 and 54613?

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 54600 and 54613 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54600 and 54613, than apply into the LCM equation.

GCF(54600,54613) = 13
LCM(54600,54613) = ( 54600 × 54613) / 13
LCM(54600,54613) = 2981869800 / 13
LCM(54600,54613) = 229374600

Least Common Multiple (LCM) of 54600 and 54613 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54600 and 54613. First we will calculate the prime factors of 54600 and 54613.

Prime Factorization of 54600

Prime Factorization of 54613

Now multiplying the highest exponent prime factors to calculate the LCM of 54600 and 54613.

LCM(54600,54613) = 2³ × 3¹ × 5² × 7¹ × 13¹ × 4201¹
LCM(54600,54613) = 229374600