What is the Least Common Multiple of 66540 and 66558?

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 66540 and 66558 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66540 and 66558, than apply into the LCM equation.

GCF(66540,66558) = 6
LCM(66540,66558) = ( 66540 × 66558) / 6
LCM(66540,66558) = 4428769320 / 6
LCM(66540,66558) = 738128220

Least Common Multiple (LCM) of 66540 and 66558 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66540 and 66558. First we will calculate the prime factors of 66540 and 66558.

Prime Factorization of 66540

Prime Factorization of 66558

Now multiplying the highest exponent prime factors to calculate the LCM of 66540 and 66558.

LCM(66540,66558) = 2² × 3¹ × 5¹ × 1109¹ × 11093¹
LCM(66540,66558) = 738128220