What is the Least Common Multiple of 74450 and 74462?

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 74450 and 74462 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74450 and 74462, than apply into the LCM equation.

GCF(74450,74462) = 2
LCM(74450,74462) = ( 74450 × 74462) / 2
LCM(74450,74462) = 5543695900 / 2
LCM(74450,74462) = 2771847950

Least Common Multiple (LCM) of 74450 and 74462 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74450 and 74462. First we will calculate the prime factors of 74450 and 74462.

Prime Factorization of 74450

Prime Factorization of 74462

Now multiplying the highest exponent prime factors to calculate the LCM of 74450 and 74462.

LCM(74450,74462) = 2¹ × 5² × 1489¹ × 31¹ × 1201¹
LCM(74450,74462) = 2771847950