What is the Least Common Multiple of 47742 and 47751?

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 47742 and 47751 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47742 and 47751, than apply into the LCM equation.

GCF(47742,47751) = 3
LCM(47742,47751) = ( 47742 × 47751) / 3
LCM(47742,47751) = 2279728242 / 3
LCM(47742,47751) = 759909414

Least Common Multiple (LCM) of 47742 and 47751 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47742 and 47751. First we will calculate the prime factors of 47742 and 47751.

Prime Factorization of 47742

Prime Factorization of 47751

Now multiplying the highest exponent prime factors to calculate the LCM of 47742 and 47751.

LCM(47742,47751) = 2¹ × 3¹ × 73¹ × 109¹ × 11¹ × 1447¹
LCM(47742,47751) = 759909414