What is the Least Common Multiple of 66981 and 66997?

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 66981 and 66997 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66981 and 66997, than apply into the LCM equation.

GCF(66981,66997) = 1
LCM(66981,66997) = ( 66981 × 66997) / 1
LCM(66981,66997) = 4487526057 / 1
LCM(66981,66997) = 4487526057

Least Common Multiple (LCM) of 66981 and 66997 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66981 and 66997. First we will calculate the prime factors of 66981 and 66997.

Prime Factorization of 66981

Prime Factorization of 66997

Now multiplying the highest exponent prime factors to calculate the LCM of 66981 and 66997.

LCM(66981,66997) = 3¹ × 83¹ × 269¹ × 7¹ × 17¹ × 563¹
LCM(66981,66997) = 4487526057