What is the Least Common Multiple of 74814 and 74828?

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 74828 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 74828, than apply into the LCM equation.

GCF(74814,74828) = 2
LCM(74814,74828) = ( 74814 × 74828) / 2
LCM(74814,74828) = 5598181992 / 2
LCM(74814,74828) = 2799090996

Least Common Multiple (LCM) of 74814 and 74828 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74814 and 74828. First we will calculate the prime factors of 74814 and 74828.

Prime Factorization of 74814

Prime Factorization of 74828

Now multiplying the highest exponent prime factors to calculate the LCM of 74814 and 74828.

LCM(74814,74828) = 2² × 3¹ × 37¹ × 337¹ × 13¹ × 1439¹
LCM(74814,74828) = 2799090996