What is the Least Common Multiple of 77728 and 77738?

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 77728 and 77738 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77728 and 77738, than apply into the LCM equation.

GCF(77728,77738) = 2
LCM(77728,77738) = ( 77728 × 77738) / 2
LCM(77728,77738) = 6042419264 / 2
LCM(77728,77738) = 3021209632

Least Common Multiple (LCM) of 77728 and 77738 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77728 and 77738. First we will calculate the prime factors of 77728 and 77738.

Prime Factorization of 77728

Prime Factorization of 77738

Now multiplying the highest exponent prime factors to calculate the LCM of 77728 and 77738.

LCM(77728,77738) = 2⁵ × 7¹ × 347¹ × 47¹ × 827¹
LCM(77728,77738) = 3021209632