What is the Least Common Multiple of 74814 and 74832?

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 74814 and 74832 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74814 and 74832, than apply into the LCM equation.

GCF(74814,74832) = 6
LCM(74814,74832) = ( 74814 × 74832) / 6
LCM(74814,74832) = 5598481248 / 6
LCM(74814,74832) = 933080208

Least Common Multiple (LCM) of 74814 and 74832 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74814 and 74832. First we will calculate the prime factors of 74814 and 74832.

Prime Factorization of 74814

Prime Factorization of 74832

Now multiplying the highest exponent prime factors to calculate the LCM of 74814 and 74832.

LCM(74814,74832) = 2⁴ × 3¹ × 37¹ × 337¹ × 1559¹
LCM(74814,74832) = 933080208