What is the Least Common Multiple of 5461 and 5478?

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 5461 and 5478 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5461 and 5478, than apply into the LCM equation.

GCF(5461,5478) = 1
LCM(5461,5478) = ( 5461 × 5478) / 1
LCM(5461,5478) = 29915358 / 1
LCM(5461,5478) = 29915358

Least Common Multiple (LCM) of 5461 and 5478 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5461 and 5478. First we will calculate the prime factors of 5461 and 5478.

Prime Factorization of 5461

Prime Factorization of 5478

Now multiplying the highest exponent prime factors to calculate the LCM of 5461 and 5478.

LCM(5461,5478) = 43¹ × 127¹ × 2¹ × 3¹ × 11¹ × 83¹
LCM(5461,5478) = 29915358