What is the Least Common Multiple of 20195 and 20211?

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 20195 and 20211 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20195 and 20211, than apply into the LCM equation.

GCF(20195,20211) = 1
LCM(20195,20211) = ( 20195 × 20211) / 1
LCM(20195,20211) = 408161145 / 1
LCM(20195,20211) = 408161145

Least Common Multiple (LCM) of 20195 and 20211 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20195 and 20211. First we will calculate the prime factors of 20195 and 20211.

Prime Factorization of 20195

Prime Factorization of 20211

Now multiplying the highest exponent prime factors to calculate the LCM of 20195 and 20211.

LCM(20195,20211) = 5¹ × 7¹ × 577¹ × 3¹ × 6737¹
LCM(20195,20211) = 408161145