What is the Least Common Multiple of 47751 and 47761?

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 47751 and 47761 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47751 and 47761, than apply into the LCM equation.

GCF(47751,47761) = 1
LCM(47751,47761) = ( 47751 × 47761) / 1
LCM(47751,47761) = 2280635511 / 1
LCM(47751,47761) = 2280635511

Least Common Multiple (LCM) of 47751 and 47761 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47751 and 47761. First we will calculate the prime factors of 47751 and 47761.

Prime Factorization of 47751

Prime Factorization of 47761

Now multiplying the highest exponent prime factors to calculate the LCM of 47751 and 47761.

LCM(47751,47761) = 3¹ × 11¹ × 1447¹ × 7¹ × 6823¹
LCM(47751,47761) = 2280635511