What is the Least Common Multiple of 32203 and 32220?

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 32203 and 32220 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32203 and 32220, than apply into the LCM equation.

GCF(32203,32220) = 1
LCM(32203,32220) = ( 32203 × 32220) / 1
LCM(32203,32220) = 1037580660 / 1
LCM(32203,32220) = 1037580660

Least Common Multiple (LCM) of 32203 and 32220 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32203 and 32220. First we will calculate the prime factors of 32203 and 32220.

Prime Factorization of 32203

Prime Factorization of 32220

Now multiplying the highest exponent prime factors to calculate the LCM of 32203 and 32220.

LCM(32203,32220) = 32203¹ × 2² × 3² × 5¹ × 179¹
LCM(32203,32220) = 1037580660