What is the Least Common Multiple of 83172 and 83190?

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 83172 and 83190 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83172 and 83190, than apply into the LCM equation.

GCF(83172,83190) = 6
LCM(83172,83190) = ( 83172 × 83190) / 6
LCM(83172,83190) = 6919078680 / 6
LCM(83172,83190) = 1153179780

Least Common Multiple (LCM) of 83172 and 83190 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83172 and 83190. First we will calculate the prime factors of 83172 and 83190.

Prime Factorization of 83172

Prime Factorization of 83190

Now multiplying the highest exponent prime factors to calculate the LCM of 83172 and 83190.

LCM(83172,83190) = 2² × 3¹ × 29¹ × 239¹ × 5¹ × 47¹ × 59¹
LCM(83172,83190) = 1153179780