What is the Least Common Multiple of 52784 and 52788?

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 52784 and 52788 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52784 and 52788, than apply into the LCM equation.

GCF(52784,52788) = 4
LCM(52784,52788) = ( 52784 × 52788) / 4
LCM(52784,52788) = 2786361792 / 4
LCM(52784,52788) = 696590448

Least Common Multiple (LCM) of 52784 and 52788 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52784 and 52788. First we will calculate the prime factors of 52784 and 52788.

Prime Factorization of 52784

Prime Factorization of 52788

Now multiplying the highest exponent prime factors to calculate the LCM of 52784 and 52788.

LCM(52784,52788) = 2⁴ × 3299¹ × 3¹ × 53¹ × 83¹
LCM(52784,52788) = 696590448