What is the Least Common Multiple of 77454 and 77468?

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 77454 and 77468 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77454 and 77468, than apply into the LCM equation.

GCF(77454,77468) = 2
LCM(77454,77468) = ( 77454 × 77468) / 2
LCM(77454,77468) = 6000206472 / 2
LCM(77454,77468) = 3000103236

Least Common Multiple (LCM) of 77454 and 77468 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77454 and 77468. First we will calculate the prime factors of 77454 and 77468.

Prime Factorization of 77454

Prime Factorization of 77468

Now multiplying the highest exponent prime factors to calculate the LCM of 77454 and 77468.

LCM(77454,77468) = 2² × 3² × 13¹ × 331¹ × 107¹ × 181¹
LCM(77454,77468) = 3000103236