What is the Least Common Multiple of 60001 and 60021?

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 60001 and 60021 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60001 and 60021, than apply into the LCM equation.

GCF(60001,60021) = 1
LCM(60001,60021) = ( 60001 × 60021) / 1
LCM(60001,60021) = 3601320021 / 1
LCM(60001,60021) = 3601320021

Least Common Multiple (LCM) of 60001 and 60021 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60001 and 60021. First we will calculate the prime factors of 60001 and 60021.

Prime Factorization of 60001

Prime Factorization of 60021

Now multiplying the highest exponent prime factors to calculate the LCM of 60001 and 60021.

LCM(60001,60021) = 29¹ × 2069¹ × 3⁵ × 13¹ × 19¹
LCM(60001,60021) = 3601320021