What is the Least Common Multiple of 74316 and 74336?

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 74316 and 74336 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74316 and 74336, than apply into the LCM equation.

GCF(74316,74336) = 4
LCM(74316,74336) = ( 74316 × 74336) / 4
LCM(74316,74336) = 5524354176 / 4
LCM(74316,74336) = 1381088544

Least Common Multiple (LCM) of 74316 and 74336 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74316 and 74336. First we will calculate the prime factors of 74316 and 74336.

Prime Factorization of 74316

Prime Factorization of 74336

Now multiplying the highest exponent prime factors to calculate the LCM of 74316 and 74336.

LCM(74316,74336) = 2⁵ × 3¹ × 11¹ × 563¹ × 23¹ × 101¹
LCM(74316,74336) = 1381088544