What is the Least Common Multiple of 47754 and 47773?

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 47754 and 47773 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47754 and 47773, than apply into the LCM equation.

GCF(47754,47773) = 1
LCM(47754,47773) = ( 47754 × 47773) / 1
LCM(47754,47773) = 2281351842 / 1
LCM(47754,47773) = 2281351842

Least Common Multiple (LCM) of 47754 and 47773 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47754 and 47773. First we will calculate the prime factors of 47754 and 47773.

Prime Factorization of 47754

Prime Factorization of 47773

Now multiplying the highest exponent prime factors to calculate the LCM of 47754 and 47773.

LCM(47754,47773) = 2¹ × 3² × 7¹ × 379¹ × 11¹ × 43¹ × 101¹
LCM(47754,47773) = 2281351842