What is the Least Common Multiple of 5424 and 5428?

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 5424 and 5428 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5424 and 5428, than apply into the LCM equation.

GCF(5424,5428) = 4
LCM(5424,5428) = ( 5424 × 5428) / 4
LCM(5424,5428) = 29441472 / 4
LCM(5424,5428) = 7360368

Least Common Multiple (LCM) of 5424 and 5428 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5424 and 5428. First we will calculate the prime factors of 5424 and 5428.

Prime Factorization of 5424

Prime Factorization of 5428

Now multiplying the highest exponent prime factors to calculate the LCM of 5424 and 5428.

LCM(5424,5428) = 2⁴ × 3¹ × 113¹ × 23¹ × 59¹
LCM(5424,5428) = 7360368