What is the Least Common Multiple of 77389 and 77408?

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 77389 and 77408 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77389 and 77408, than apply into the LCM equation.

GCF(77389,77408) = 1
LCM(77389,77408) = ( 77389 × 77408) / 1
LCM(77389,77408) = 5990527712 / 1
LCM(77389,77408) = 5990527712

Least Common Multiple (LCM) of 77389 and 77408 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77389 and 77408. First we will calculate the prime factors of 77389 and 77408.

Prime Factorization of 77389

Prime Factorization of 77408

Now multiplying the highest exponent prime factors to calculate the LCM of 77389 and 77408.

LCM(77389,77408) = 13¹ × 5953¹ × 2⁵ × 41¹ × 59¹
LCM(77389,77408) = 5990527712