What is the Least Common Multiple of 67005 and 67021?

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 67005 and 67021 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67005 and 67021, than apply into the LCM equation.

GCF(67005,67021) = 1
LCM(67005,67021) = ( 67005 × 67021) / 1
LCM(67005,67021) = 4490742105 / 1
LCM(67005,67021) = 4490742105

Least Common Multiple (LCM) of 67005 and 67021 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67005 and 67021. First we will calculate the prime factors of 67005 and 67021.

Prime Factorization of 67005

Prime Factorization of 67021

Now multiplying the highest exponent prime factors to calculate the LCM of 67005 and 67021.

LCM(67005,67021) = 3² × 5¹ × 1489¹ × 67021¹
LCM(67005,67021) = 4490742105