What is the Least Common Multiple of 83190 and 83208?

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 83190 and 83208 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83190 and 83208, than apply into the LCM equation.

GCF(83190,83208) = 6
LCM(83190,83208) = ( 83190 × 83208) / 6
LCM(83190,83208) = 6922073520 / 6
LCM(83190,83208) = 1153678920

Least Common Multiple (LCM) of 83190 and 83208 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83190 and 83208. First we will calculate the prime factors of 83190 and 83208.

Prime Factorization of 83190

Prime Factorization of 83208

Now multiplying the highest exponent prime factors to calculate the LCM of 83190 and 83208.

LCM(83190,83208) = 2³ × 3¹ × 5¹ × 47¹ × 59¹ × 3467¹
LCM(83190,83208) = 1153678920