What is the Least Common Multiple of 54099 and 54103?

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 54099 and 54103 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54099 and 54103, than apply into the LCM equation.

GCF(54099,54103) = 1
LCM(54099,54103) = ( 54099 × 54103) / 1
LCM(54099,54103) = 2926918197 / 1
LCM(54099,54103) = 2926918197

Least Common Multiple (LCM) of 54099 and 54103 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54099 and 54103. First we will calculate the prime factors of 54099 and 54103.

Prime Factorization of 54099

Prime Factorization of 54103

Now multiplying the highest exponent prime factors to calculate the LCM of 54099 and 54103.

LCM(54099,54103) = 3² × 6011¹ × 7¹ × 59¹ × 131¹
LCM(54099,54103) = 2926918197