What is the Least Common Multiple of 74365 and 74371?

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 74365 and 74371 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74365 and 74371, than apply into the LCM equation.

GCF(74365,74371) = 1
LCM(74365,74371) = ( 74365 × 74371) / 1
LCM(74365,74371) = 5530599415 / 1
LCM(74365,74371) = 5530599415

Least Common Multiple (LCM) of 74365 and 74371 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74365 and 74371. First we will calculate the prime factors of 74365 and 74371.

Prime Factorization of 74365

Prime Factorization of 74371

Now multiplying the highest exponent prime factors to calculate the LCM of 74365 and 74371.

LCM(74365,74371) = 5¹ × 107¹ × 139¹ × 11¹ × 6761¹
LCM(74365,74371) = 5530599415