What is the Least Common Multiple of 72189 and 72198?

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 72189 and 72198 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72189 and 72198, than apply into the LCM equation.

GCF(72189,72198) = 9
LCM(72189,72198) = ( 72189 × 72198) / 9
LCM(72189,72198) = 5211901422 / 9
LCM(72189,72198) = 579100158

Least Common Multiple (LCM) of 72189 and 72198 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72189 and 72198. First we will calculate the prime factors of 72189 and 72198.

Prime Factorization of 72189

Prime Factorization of 72198

Now multiplying the highest exponent prime factors to calculate the LCM of 72189 and 72198.

LCM(72189,72198) = 3³ × 13¹ × 617¹ × 2¹ × 7¹ × 191¹
LCM(72189,72198) = 579100158