What is the Least Common Multiple of 47776 and 47790?

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 47790 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 47790, than apply into the LCM equation.

GCF(47776,47790) = 2
LCM(47776,47790) = ( 47776 × 47790) / 2
LCM(47776,47790) = 2283215040 / 2
LCM(47776,47790) = 1141607520

Least Common Multiple (LCM) of 47776 and 47790 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47776 and 47790. First we will calculate the prime factors of 47776 and 47790.

Prime Factorization of 47776

Prime Factorization of 47790

Now multiplying the highest exponent prime factors to calculate the LCM of 47776 and 47790.

LCM(47776,47790) = 2⁵ × 1493¹ × 3⁴ × 5¹ × 59¹
LCM(47776,47790) = 1141607520