What is the Least Common Multiple of 66997 and 67009?

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 66997 and 67009 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66997 and 67009, than apply into the LCM equation.

GCF(66997,67009) = 1
LCM(66997,67009) = ( 66997 × 67009) / 1
LCM(66997,67009) = 4489401973 / 1
LCM(66997,67009) = 4489401973

Least Common Multiple (LCM) of 66997 and 67009 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66997 and 67009. First we will calculate the prime factors of 66997 and 67009.

Prime Factorization of 66997

Prime Factorization of 67009

Now multiplying the highest exponent prime factors to calculate the LCM of 66997 and 67009.

LCM(66997,67009) = 7¹ × 17¹ × 563¹ × 113¹ × 593¹
LCM(66997,67009) = 4489401973