What is the Least Common Multiple of 47791 and 47801?

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 47791 and 47801 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47791 and 47801, than apply into the LCM equation.

GCF(47791,47801) = 1
LCM(47791,47801) = ( 47791 × 47801) / 1
LCM(47791,47801) = 2284457591 / 1
LCM(47791,47801) = 2284457591

Least Common Multiple (LCM) of 47791 and 47801 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47791 and 47801. First we will calculate the prime factors of 47791 and 47801.

Prime Factorization of 47791

Prime Factorization of 47801

Now multiplying the highest exponent prime factors to calculate the LCM of 47791 and 47801.

LCM(47791,47801) = 47791¹ × 13¹ × 3677¹
LCM(47791,47801) = 2284457591