What is the Least Common Multiple of 5320 and 5337?

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 5320 and 5337 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5320 and 5337, than apply into the LCM equation.

GCF(5320,5337) = 1
LCM(5320,5337) = ( 5320 × 5337) / 1
LCM(5320,5337) = 28392840 / 1
LCM(5320,5337) = 28392840

Least Common Multiple (LCM) of 5320 and 5337 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5320 and 5337. First we will calculate the prime factors of 5320 and 5337.

Prime Factorization of 5320

Prime Factorization of 5337

Now multiplying the highest exponent prime factors to calculate the LCM of 5320 and 5337.

LCM(5320,5337) = 2³ × 5¹ × 7¹ × 19¹ × 3² × 593¹
LCM(5320,5337) = 28392840