What is the Least Common Multiple of 74478 and 74483?

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 74478 and 74483 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74478 and 74483, than apply into the LCM equation.

GCF(74478,74483) = 1
LCM(74478,74483) = ( 74478 × 74483) / 1
LCM(74478,74483) = 5547344874 / 1
LCM(74478,74483) = 5547344874

Least Common Multiple (LCM) of 74478 and 74483 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74478 and 74483. First we will calculate the prime factors of 74478 and 74483.

Prime Factorization of 74478

Prime Factorization of 74483

Now multiplying the highest exponent prime factors to calculate the LCM of 74478 and 74483.

LCM(74478,74483) = 2¹ × 3¹ × 12413¹ × 211¹ × 353¹
LCM(74478,74483) = 5547344874