What is the Least Common Multiple of 48714 and 48733?

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 48714 and 48733 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48714 and 48733, than apply into the LCM equation.

GCF(48714,48733) = 1
LCM(48714,48733) = ( 48714 × 48733) / 1
LCM(48714,48733) = 2373979362 / 1
LCM(48714,48733) = 2373979362

Least Common Multiple (LCM) of 48714 and 48733 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48714 and 48733. First we will calculate the prime factors of 48714 and 48733.

Prime Factorization of 48714

Prime Factorization of 48733

Now multiplying the highest exponent prime factors to calculate the LCM of 48714 and 48733.

LCM(48714,48733) = 2¹ × 3¹ × 23¹ × 353¹ × 48733¹
LCM(48714,48733) = 2373979362