What is the Least Common Multiple of 74814 and 74821?

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 74821 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 74821, than apply into the LCM equation.

GCF(74814,74821) = 1
LCM(74814,74821) = ( 74814 × 74821) / 1
LCM(74814,74821) = 5597658294 / 1
LCM(74814,74821) = 5597658294

Least Common Multiple (LCM) of 74814 and 74821 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74814 and 74821. First we will calculate the prime factors of 74814 and 74821.

Prime Factorization of 74814

Prime Factorization of 74821

Now multiplying the highest exponent prime factors to calculate the LCM of 74814 and 74821.

LCM(74814,74821) = 2¹ × 3¹ × 37¹ × 337¹ × 74821¹
LCM(74814,74821) = 5597658294