What is the Least Common Multiple of 66750 and 66759?

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 66750 and 66759 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66750 and 66759, than apply into the LCM equation.

GCF(66750,66759) = 3
LCM(66750,66759) = ( 66750 × 66759) / 3
LCM(66750,66759) = 4456163250 / 3
LCM(66750,66759) = 1485387750

Least Common Multiple (LCM) of 66750 and 66759 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66750 and 66759. First we will calculate the prime factors of 66750 and 66759.

Prime Factorization of 66750

Prime Factorization of 66759

Now multiplying the highest exponent prime factors to calculate the LCM of 66750 and 66759.

LCM(66750,66759) = 2¹ × 3¹ × 5³ × 89¹ × 7¹ × 11¹ × 17²
LCM(66750,66759) = 1485387750