What is the Least Common Multiple of 74351 and 74369?

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 74351 and 74369 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74351 and 74369, than apply into the LCM equation.

GCF(74351,74369) = 1
LCM(74351,74369) = ( 74351 × 74369) / 1
LCM(74351,74369) = 5529409519 / 1
LCM(74351,74369) = 5529409519

Least Common Multiple (LCM) of 74351 and 74369 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74351 and 74369. First we will calculate the prime factors of 74351 and 74369.

Prime Factorization of 74351

Prime Factorization of 74369

Now multiplying the highest exponent prime factors to calculate the LCM of 74351 and 74369.

LCM(74351,74369) = 149¹ × 499¹ × 31¹ × 2399¹
LCM(74351,74369) = 5529409519