What is the Least Common Multiple of 87213 and 87233?

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 87213 and 87233 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87213 and 87233, than apply into the LCM equation.

GCF(87213,87233) = 1
LCM(87213,87233) = ( 87213 × 87233) / 1
LCM(87213,87233) = 7607851629 / 1
LCM(87213,87233) = 7607851629

Least Common Multiple (LCM) of 87213 and 87233 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87213 and 87233. First we will calculate the prime factors of 87213 and 87233.

Prime Factorization of 87213

Prime Factorization of 87233

Now multiplying the highest exponent prime factors to calculate the LCM of 87213 and 87233.

LCM(87213,87233) = 3¹ × 7¹ × 4153¹ × 83¹ × 1051¹
LCM(87213,87233) = 7607851629