What is the Least Common Multiple of 20101 and 20120?

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 20101 and 20120 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20101 and 20120, than apply into the LCM equation.

GCF(20101,20120) = 1
LCM(20101,20120) = ( 20101 × 20120) / 1
LCM(20101,20120) = 404432120 / 1
LCM(20101,20120) = 404432120

Least Common Multiple (LCM) of 20101 and 20120 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20101 and 20120. First we will calculate the prime factors of 20101 and 20120.

Prime Factorization of 20101

Prime Factorization of 20120

Now multiplying the highest exponent prime factors to calculate the LCM of 20101 and 20120.

LCM(20101,20120) = 20101¹ × 2³ × 5¹ × 503¹
LCM(20101,20120) = 404432120