What is the Least Common Multiple of 77344 and 77354?

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 77344 and 77354 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77344 and 77354, than apply into the LCM equation.

GCF(77344,77354) = 2
LCM(77344,77354) = ( 77344 × 77354) / 2
LCM(77344,77354) = 5982867776 / 2
LCM(77344,77354) = 2991433888

Least Common Multiple (LCM) of 77344 and 77354 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77344 and 77354. First we will calculate the prime factors of 77344 and 77354.

Prime Factorization of 77344

Prime Factorization of 77354

Now multiplying the highest exponent prime factors to calculate the LCM of 77344 and 77354.

LCM(77344,77354) = 2⁵ × 2417¹ × 38677¹
LCM(77344,77354) = 2991433888