What is the Least Common Multiple of 66753 and 66768?

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 66753 and 66768 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66753 and 66768, than apply into the LCM equation.

GCF(66753,66768) = 3
LCM(66753,66768) = ( 66753 × 66768) / 3
LCM(66753,66768) = 4456964304 / 3
LCM(66753,66768) = 1485654768

Least Common Multiple (LCM) of 66753 and 66768 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66753 and 66768. First we will calculate the prime factors of 66753 and 66768.

Prime Factorization of 66753

Prime Factorization of 66768

Now multiplying the highest exponent prime factors to calculate the LCM of 66753 and 66768.

LCM(66753,66768) = 3² × 7417¹ × 2⁴ × 13¹ × 107¹
LCM(66753,66768) = 1485654768