What is the Least Common Multiple of 83190 and 83196?

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 83196 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 83196, than apply into the LCM equation.

GCF(83190,83196) = 6
LCM(83190,83196) = ( 83190 × 83196) / 6
LCM(83190,83196) = 6921075240 / 6
LCM(83190,83196) = 1153512540

Least Common Multiple (LCM) of 83190 and 83196 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83190 and 83196. First we will calculate the prime factors of 83190 and 83196.

Prime Factorization of 83190

Prime Factorization of 83196

Now multiplying the highest exponent prime factors to calculate the LCM of 83190 and 83196.

LCM(83190,83196) = 2² × 3² × 5¹ × 47¹ × 59¹ × 2311¹
LCM(83190,83196) = 1153512540