What is the Least Common Multiple of 77213 and 77233?

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 77213 and 77233 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77213 and 77233, than apply into the LCM equation.

GCF(77213,77233) = 1
LCM(77213,77233) = ( 77213 × 77233) / 1
LCM(77213,77233) = 5963391629 / 1
LCM(77213,77233) = 5963391629

Least Common Multiple (LCM) of 77213 and 77233 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77213 and 77233. First we will calculate the prime factors of 77213 and 77233.

Prime Factorization of 77213

Prime Factorization of 77233

Now multiplying the highest exponent prime factors to calculate the LCM of 77213 and 77233.

LCM(77213,77233) = 77213¹ × 13² × 457¹
LCM(77213,77233) = 5963391629