What is the Least Common Multiple of 77408 and 77414?

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 77408 and 77414 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77408 and 77414, than apply into the LCM equation.

GCF(77408,77414) = 2
LCM(77408,77414) = ( 77408 × 77414) / 2
LCM(77408,77414) = 5992462912 / 2
LCM(77408,77414) = 2996231456

Least Common Multiple (LCM) of 77408 and 77414 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77408 and 77414. First we will calculate the prime factors of 77408 and 77414.

Prime Factorization of 77408

Prime Factorization of 77414

Now multiplying the highest exponent prime factors to calculate the LCM of 77408 and 77414.

LCM(77408,77414) = 2⁵ × 41¹ × 59¹ × 38707¹
LCM(77408,77414) = 2996231456