What is the Least Common Multiple of 65985 and 66003?

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 65985 and 66003 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65985 and 66003, than apply into the LCM equation.

GCF(65985,66003) = 3
LCM(65985,66003) = ( 65985 × 66003) / 3
LCM(65985,66003) = 4355207955 / 3
LCM(65985,66003) = 1451735985

Least Common Multiple (LCM) of 65985 and 66003 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65985 and 66003. First we will calculate the prime factors of 65985 and 66003.

Prime Factorization of 65985

Prime Factorization of 66003

Now multiplying the highest exponent prime factors to calculate the LCM of 65985 and 66003.

LCM(65985,66003) = 3¹ × 5¹ × 53¹ × 83¹ × 7² × 449¹
LCM(65985,66003) = 1451735985