What is the Least Common Multiple of 47751 and 47757?

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 47757 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 47757, than apply into the LCM equation.

GCF(47751,47757) = 3
LCM(47751,47757) = ( 47751 × 47757) / 3
LCM(47751,47757) = 2280444507 / 3
LCM(47751,47757) = 760148169

Least Common Multiple (LCM) of 47751 and 47757 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47751 and 47757. First we will calculate the prime factors of 47751 and 47757.

Prime Factorization of 47751

Prime Factorization of 47757

Now multiplying the highest exponent prime factors to calculate the LCM of 47751 and 47757.

LCM(47751,47757) = 3¹ × 11¹ × 1447¹ × 15919¹
LCM(47751,47757) = 760148169