What is the Least Common Multiple of 66633 and 66648?

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 66633 and 66648 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66633 and 66648, than apply into the LCM equation.

GCF(66633,66648) = 3
LCM(66633,66648) = ( 66633 × 66648) / 3
LCM(66633,66648) = 4440956184 / 3
LCM(66633,66648) = 1480318728

Least Common Multiple (LCM) of 66633 and 66648 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66633 and 66648. First we will calculate the prime factors of 66633 and 66648.

Prime Factorization of 66633

Prime Factorization of 66648

Now multiplying the highest exponent prime factors to calculate the LCM of 66633 and 66648.

LCM(66633,66648) = 3¹ × 7¹ × 19¹ × 167¹ × 2³ × 2777¹
LCM(66633,66648) = 1480318728