What is the Least Common Multiple of 47754 and 47762?

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 47762 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 47762, than apply into the LCM equation.

GCF(47754,47762) = 2
LCM(47754,47762) = ( 47754 × 47762) / 2
LCM(47754,47762) = 2280826548 / 2
LCM(47754,47762) = 1140413274

Least Common Multiple (LCM) of 47754 and 47762 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47754 and 47762. First we will calculate the prime factors of 47754 and 47762.

Prime Factorization of 47754

Prime Factorization of 47762

Now multiplying the highest exponent prime factors to calculate the LCM of 47754 and 47762.

LCM(47754,47762) = 2¹ × 3² × 7¹ × 379¹ × 11¹ × 13¹ × 167¹
LCM(47754,47762) = 1140413274