What is the Least Common Multiple of 47776 and 47782?

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 47776 and 47782 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47776 and 47782, than apply into the LCM equation.

GCF(47776,47782) = 2
LCM(47776,47782) = ( 47776 × 47782) / 2
LCM(47776,47782) = 2282832832 / 2
LCM(47776,47782) = 1141416416

Least Common Multiple (LCM) of 47776 and 47782 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47776 and 47782. First we will calculate the prime factors of 47776 and 47782.

Prime Factorization of 47776

Prime Factorization of 47782

Now multiplying the highest exponent prime factors to calculate the LCM of 47776 and 47782.

LCM(47776,47782) = 2⁵ × 1493¹ × 7¹ × 3413¹
LCM(47776,47782) = 1141416416