What is the Least Common Multiple of 5456 and 5460?

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 5456 and 5460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5456 and 5460, than apply into the LCM equation.

GCF(5456,5460) = 4
LCM(5456,5460) = ( 5456 × 5460) / 4
LCM(5456,5460) = 29789760 / 4
LCM(5456,5460) = 7447440

Least Common Multiple (LCM) of 5456 and 5460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5456 and 5460. First we will calculate the prime factors of 5456 and 5460.

Prime Factorization of 5456

Prime Factorization of 5460

Now multiplying the highest exponent prime factors to calculate the LCM of 5456 and 5460.

LCM(5456,5460) = 2⁴ × 11¹ × 31¹ × 3¹ × 5¹ × 7¹ × 13¹
LCM(5456,5460) = 7447440