What is the Least Common Multiple of 77409 and 77424?

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 77409 and 77424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77409 and 77424, than apply into the LCM equation.

GCF(77409,77424) = 3
LCM(77409,77424) = ( 77409 × 77424) / 3
LCM(77409,77424) = 5993314416 / 3
LCM(77409,77424) = 1997771472

Least Common Multiple (LCM) of 77409 and 77424 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77409 and 77424. First we will calculate the prime factors of 77409 and 77424.

Prime Factorization of 77409

Prime Factorization of 77424

Now multiplying the highest exponent prime factors to calculate the LCM of 77409 and 77424.

LCM(77409,77424) = 3³ × 47¹ × 61¹ × 2⁴ × 1613¹
LCM(77409,77424) = 1997771472