What is the Least Common Multiple of 20151 and 20170?

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 20151 and 20170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20151 and 20170, than apply into the LCM equation.

GCF(20151,20170) = 1
LCM(20151,20170) = ( 20151 × 20170) / 1
LCM(20151,20170) = 406445670 / 1
LCM(20151,20170) = 406445670

Least Common Multiple (LCM) of 20151 and 20170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20151 and 20170. First we will calculate the prime factors of 20151 and 20170.

Prime Factorization of 20151

Prime Factorization of 20170

Now multiplying the highest exponent prime factors to calculate the LCM of 20151 and 20170.

LCM(20151,20170) = 3² × 2239¹ × 2¹ × 5¹ × 2017¹
LCM(20151,20170) = 406445670