What is the Least Common Multiple of 66989 and 67001?

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 66989 and 67001 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66989 and 67001, than apply into the LCM equation.

GCF(66989,67001) = 1
LCM(66989,67001) = ( 66989 × 67001) / 1
LCM(66989,67001) = 4488329989 / 1
LCM(66989,67001) = 4488329989

Least Common Multiple (LCM) of 66989 and 67001 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66989 and 67001. First we will calculate the prime factors of 66989 and 67001.

Prime Factorization of 66989

Prime Factorization of 67001

Now multiplying the highest exponent prime factors to calculate the LCM of 66989 and 67001.

LCM(66989,67001) = 13¹ × 5153¹ × 11¹ × 6091¹
LCM(66989,67001) = 4488329989