What is the Least Common Multiple of 7358 and 7371?

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 7358 and 7371 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7358 and 7371, than apply into the LCM equation.

GCF(7358,7371) = 13
LCM(7358,7371) = ( 7358 × 7371) / 13
LCM(7358,7371) = 54235818 / 13
LCM(7358,7371) = 4171986

Least Common Multiple (LCM) of 7358 and 7371 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7358 and 7371. First we will calculate the prime factors of 7358 and 7371.

Prime Factorization of 7358

Prime Factorization of 7371

Now multiplying the highest exponent prime factors to calculate the LCM of 7358 and 7371.

LCM(7358,7371) = 2¹ × 13¹ × 283¹ × 3⁴ × 7¹
LCM(7358,7371) = 4171986