What is the Least Common Multiple of 66750 and 66765?

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 66765 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 66765, than apply into the LCM equation.

GCF(66750,66765) = 15
LCM(66750,66765) = ( 66750 × 66765) / 15
LCM(66750,66765) = 4456563750 / 15
LCM(66750,66765) = 297104250

Least Common Multiple (LCM) of 66750 and 66765 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66750 and 66765. First we will calculate the prime factors of 66750 and 66765.

Prime Factorization of 66750

Prime Factorization of 66765

Now multiplying the highest exponent prime factors to calculate the LCM of 66750 and 66765.

LCM(66750,66765) = 2¹ × 3¹ × 5³ × 89¹ × 4451¹
LCM(66750,66765) = 297104250