What is the Least Common Multiple of 77448 and 77459?

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 77448 and 77459 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77448 and 77459, than apply into the LCM equation.

GCF(77448,77459) = 1
LCM(77448,77459) = ( 77448 × 77459) / 1
LCM(77448,77459) = 5999044632 / 1
LCM(77448,77459) = 5999044632

Least Common Multiple (LCM) of 77448 and 77459 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77448 and 77459. First we will calculate the prime factors of 77448 and 77459.

Prime Factorization of 77448

Prime Factorization of 77459

Now multiplying the highest exponent prime factors to calculate the LCM of 77448 and 77459.

LCM(77448,77459) = 2³ × 3¹ × 7¹ × 461¹ × 29¹ × 2671¹
LCM(77448,77459) = 5999044632