What is the Least Common Multiple of 5460 and 5474?

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 5460 and 5474 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5460 and 5474, than apply into the LCM equation.

GCF(5460,5474) = 14
LCM(5460,5474) = ( 5460 × 5474) / 14
LCM(5460,5474) = 29888040 / 14
LCM(5460,5474) = 2134860

Least Common Multiple (LCM) of 5460 and 5474 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5460 and 5474. First we will calculate the prime factors of 5460 and 5474.

Prime Factorization of 5460

Prime Factorization of 5474

Now multiplying the highest exponent prime factors to calculate the LCM of 5460 and 5474.

LCM(5460,5474) = 2² × 3¹ × 5¹ × 7¹ × 13¹ × 17¹ × 23¹
LCM(5460,5474) = 2134860