What is the Least Common Multiple of 77444 and 77454?

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 77444 and 77454 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77444 and 77454, than apply into the LCM equation.

GCF(77444,77454) = 2
LCM(77444,77454) = ( 77444 × 77454) / 2
LCM(77444,77454) = 5998347576 / 2
LCM(77444,77454) = 2999173788

Least Common Multiple (LCM) of 77444 and 77454 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77444 and 77454. First we will calculate the prime factors of 77444 and 77454.

Prime Factorization of 77444

Prime Factorization of 77454

Now multiplying the highest exponent prime factors to calculate the LCM of 77444 and 77454.

LCM(77444,77454) = 2² × 19¹ × 1019¹ × 3² × 13¹ × 331¹
LCM(77444,77454) = 2999173788