What is the Least Common Multiple of 74369 and 74374?

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 74369 and 74374 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74369 and 74374, than apply into the LCM equation.

GCF(74369,74374) = 1
LCM(74369,74374) = ( 74369 × 74374) / 1
LCM(74369,74374) = 5531120006 / 1
LCM(74369,74374) = 5531120006

Least Common Multiple (LCM) of 74369 and 74374 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74369 and 74374. First we will calculate the prime factors of 74369 and 74374.

Prime Factorization of 74369

Prime Factorization of 74374

Now multiplying the highest exponent prime factors to calculate the LCM of 74369 and 74374.

LCM(74369,74374) = 31¹ × 2399¹ × 2¹ × 41¹ × 907¹
LCM(74369,74374) = 5531120006