What is the Least Common Multiple of 74432 and 74451?

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 74432 and 74451 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74432 and 74451, than apply into the LCM equation.

GCF(74432,74451) = 1
LCM(74432,74451) = ( 74432 × 74451) / 1
LCM(74432,74451) = 5541536832 / 1
LCM(74432,74451) = 5541536832

Least Common Multiple (LCM) of 74432 and 74451 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74432 and 74451. First we will calculate the prime factors of 74432 and 74451.

Prime Factorization of 74432

Prime Factorization of 74451

Now multiplying the highest exponent prime factors to calculate the LCM of 74432 and 74451.

LCM(74432,74451) = 2⁶ × 1163¹ × 3¹ × 13¹ × 23¹ × 83¹
LCM(74432,74451) = 5541536832