What is the Least Common Multiple of 74336 and 74346?

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 74336 and 74346 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74336 and 74346, than apply into the LCM equation.

GCF(74336,74346) = 2
LCM(74336,74346) = ( 74336 × 74346) / 2
LCM(74336,74346) = 5526584256 / 2
LCM(74336,74346) = 2763292128

Least Common Multiple (LCM) of 74336 and 74346 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74336 and 74346. First we will calculate the prime factors of 74336 and 74346.

Prime Factorization of 74336

Prime Factorization of 74346

Now multiplying the highest exponent prime factors to calculate the LCM of 74336 and 74346.

LCM(74336,74346) = 2⁵ × 23¹ × 101¹ × 3¹ × 12391¹
LCM(74336,74346) = 2763292128