What is the Least Common Multiple of 76219 and 76233?

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 76219 and 76233 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76219 and 76233, than apply into the LCM equation.

GCF(76219,76233) = 1
LCM(76219,76233) = ( 76219 × 76233) / 1
LCM(76219,76233) = 5810403027 / 1
LCM(76219,76233) = 5810403027

Least Common Multiple (LCM) of 76219 and 76233 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76219 and 76233. First we will calculate the prime factors of 76219 and 76233.

Prime Factorization of 76219

Prime Factorization of 76233

Now multiplying the highest exponent prime factors to calculate the LCM of 76219 and 76233.

LCM(76219,76233) = 11¹ × 13² × 41¹ × 3¹ × 25411¹
LCM(76219,76233) = 5810403027