What is the Least Common Multiple of 66675 and 66689?

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 66675 and 66689 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66675 and 66689, than apply into the LCM equation.

GCF(66675,66689) = 7
LCM(66675,66689) = ( 66675 × 66689) / 7
LCM(66675,66689) = 4446489075 / 7
LCM(66675,66689) = 635212725

Least Common Multiple (LCM) of 66675 and 66689 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66675 and 66689. First we will calculate the prime factors of 66675 and 66689.

Prime Factorization of 66675

Prime Factorization of 66689

Now multiplying the highest exponent prime factors to calculate the LCM of 66675 and 66689.

LCM(66675,66689) = 3¹ × 5² × 7² × 127¹ × 1361¹
LCM(66675,66689) = 635212725