What is the Least Common Multiple of 5350 and 5370?

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 5350 and 5370 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5350 and 5370, than apply into the LCM equation.

GCF(5350,5370) = 10
LCM(5350,5370) = ( 5350 × 5370) / 10
LCM(5350,5370) = 28729500 / 10
LCM(5350,5370) = 2872950

Least Common Multiple (LCM) of 5350 and 5370 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5350 and 5370. First we will calculate the prime factors of 5350 and 5370.

Prime Factorization of 5350

Prime Factorization of 5370

Now multiplying the highest exponent prime factors to calculate the LCM of 5350 and 5370.

LCM(5350,5370) = 2¹ × 5² × 107¹ × 3¹ × 179¹
LCM(5350,5370) = 2872950