What is the Least Common Multiple of 47600 and 47619?

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 47600 and 47619 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47600 and 47619, than apply into the LCM equation.

GCF(47600,47619) = 1
LCM(47600,47619) = ( 47600 × 47619) / 1
LCM(47600,47619) = 2266664400 / 1
LCM(47600,47619) = 2266664400

Least Common Multiple (LCM) of 47600 and 47619 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47600 and 47619. First we will calculate the prime factors of 47600 and 47619.

Prime Factorization of 47600

Prime Factorization of 47619

Now multiplying the highest exponent prime factors to calculate the LCM of 47600 and 47619.

LCM(47600,47619) = 2⁴ × 5² × 7¹ × 17¹ × 3² × 11¹ × 13¹ × 37¹
LCM(47600,47619) = 2266664400