What is the Least Common Multiple of 54462 and 54471?

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 54462 and 54471 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54462 and 54471, than apply into the LCM equation.

GCF(54462,54471) = 3
LCM(54462,54471) = ( 54462 × 54471) / 3
LCM(54462,54471) = 2966599602 / 3
LCM(54462,54471) = 988866534

Least Common Multiple (LCM) of 54462 and 54471 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54462 and 54471. First we will calculate the prime factors of 54462 and 54471.

Prime Factorization of 54462

Prime Factorization of 54471

Now multiplying the highest exponent prime factors to calculate the LCM of 54462 and 54471.

LCM(54462,54471) = 2¹ × 3¹ × 29¹ × 313¹ × 67¹ × 271¹
LCM(54462,54471) = 988866534