What is the Least Common Multiple of 5454 and 5461?

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 5454 and 5461 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5454 and 5461, than apply into the LCM equation.

GCF(5454,5461) = 1
LCM(5454,5461) = ( 5454 × 5461) / 1
LCM(5454,5461) = 29784294 / 1
LCM(5454,5461) = 29784294

Least Common Multiple (LCM) of 5454 and 5461 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5454 and 5461. First we will calculate the prime factors of 5454 and 5461.

Prime Factorization of 5454

Prime Factorization of 5461

Now multiplying the highest exponent prime factors to calculate the LCM of 5454 and 5461.

LCM(5454,5461) = 2¹ × 3³ × 101¹ × 43¹ × 127¹
LCM(5454,5461) = 29784294