What is the Least Common Multiple of 47768 and 47778?

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 47768 and 47778 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47768 and 47778, than apply into the LCM equation.

GCF(47768,47778) = 2
LCM(47768,47778) = ( 47768 × 47778) / 2
LCM(47768,47778) = 2282259504 / 2
LCM(47768,47778) = 1141129752

Least Common Multiple (LCM) of 47768 and 47778 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47768 and 47778. First we will calculate the prime factors of 47768 and 47778.

Prime Factorization of 47768

Prime Factorization of 47778

Now multiplying the highest exponent prime factors to calculate the LCM of 47768 and 47778.

LCM(47768,47778) = 2³ × 7¹ × 853¹ × 3¹ × 7963¹
LCM(47768,47778) = 1141129752