What is the Least Common Multiple of 80204 and 80220?

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 80204 and 80220 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80204 and 80220, than apply into the LCM equation.

GCF(80204,80220) = 4
LCM(80204,80220) = ( 80204 × 80220) / 4
LCM(80204,80220) = 6433964880 / 4
LCM(80204,80220) = 1608491220

Least Common Multiple (LCM) of 80204 and 80220 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80204 and 80220. First we will calculate the prime factors of 80204 and 80220.

Prime Factorization of 80204

Prime Factorization of 80220

Now multiplying the highest exponent prime factors to calculate the LCM of 80204 and 80220.

LCM(80204,80220) = 2² × 20051¹ × 3¹ × 5¹ × 7¹ × 191¹
LCM(80204,80220) = 1608491220