What is the Least Common Multiple of 32196 and 32203?

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 32196 and 32203 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32196 and 32203, than apply into the LCM equation.

GCF(32196,32203) = 1
LCM(32196,32203) = ( 32196 × 32203) / 1
LCM(32196,32203) = 1036807788 / 1
LCM(32196,32203) = 1036807788

Least Common Multiple (LCM) of 32196 and 32203 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32196 and 32203. First we will calculate the prime factors of 32196 and 32203.

Prime Factorization of 32196

Prime Factorization of 32203

Now multiplying the highest exponent prime factors to calculate the LCM of 32196 and 32203.

LCM(32196,32203) = 2² × 3¹ × 2683¹ × 32203¹
LCM(32196,32203) = 1036807788