What is the Least Common Multiple of 77358 and 77368?

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 77358 and 77368 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77358 and 77368, than apply into the LCM equation.

GCF(77358,77368) = 2
LCM(77358,77368) = ( 77358 × 77368) / 2
LCM(77358,77368) = 5985033744 / 2
LCM(77358,77368) = 2992516872

Least Common Multiple (LCM) of 77358 and 77368 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77358 and 77368. First we will calculate the prime factors of 77358 and 77368.

Prime Factorization of 77358

Prime Factorization of 77368

Now multiplying the highest exponent prime factors to calculate the LCM of 77358 and 77368.

LCM(77358,77368) = 2³ × 3¹ × 12893¹ × 19¹ × 509¹
LCM(77358,77368) = 2992516872