What is the Least Common Multiple of 52712 and 52719?

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 52712 and 52719 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52712 and 52719, than apply into the LCM equation.

GCF(52712,52719) = 1
LCM(52712,52719) = ( 52712 × 52719) / 1
LCM(52712,52719) = 2778923928 / 1
LCM(52712,52719) = 2778923928

Least Common Multiple (LCM) of 52712 and 52719 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52712 and 52719. First we will calculate the prime factors of 52712 and 52719.

Prime Factorization of 52712

Prime Factorization of 52719

Now multiplying the highest exponent prime factors to calculate the LCM of 52712 and 52719.

LCM(52712,52719) = 2³ × 11¹ × 599¹ × 3¹ × 17573¹
LCM(52712,52719) = 2778923928