What is the Least Common Multiple of 74464 and 74484?

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 74464 and 74484 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74464 and 74484, than apply into the LCM equation.

GCF(74464,74484) = 4
LCM(74464,74484) = ( 74464 × 74484) / 4
LCM(74464,74484) = 5546376576 / 4
LCM(74464,74484) = 1386594144

Least Common Multiple (LCM) of 74464 and 74484 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74464 and 74484. First we will calculate the prime factors of 74464 and 74484.

Prime Factorization of 74464

Prime Factorization of 74484

Now multiplying the highest exponent prime factors to calculate the LCM of 74464 and 74484.

LCM(74464,74484) = 2⁵ × 13¹ × 179¹ × 3² × 2069¹
LCM(74464,74484) = 1386594144