What is the Least Common Multiple of 74384 and 74390?

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 74384 and 74390 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74384 and 74390, than apply into the LCM equation.

GCF(74384,74390) = 2
LCM(74384,74390) = ( 74384 × 74390) / 2
LCM(74384,74390) = 5533425760 / 2
LCM(74384,74390) = 2766712880

Least Common Multiple (LCM) of 74384 and 74390 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74384 and 74390. First we will calculate the prime factors of 74384 and 74390.

Prime Factorization of 74384

Prime Factorization of 74390

Now multiplying the highest exponent prime factors to calculate the LCM of 74384 and 74390.

LCM(74384,74390) = 2⁴ × 4649¹ × 5¹ × 43¹ × 173¹
LCM(74384,74390) = 2766712880