What is the Least Common Multiple of 66528 and 66540?

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 66528 and 66540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66528 and 66540, than apply into the LCM equation.

GCF(66528,66540) = 12
LCM(66528,66540) = ( 66528 × 66540) / 12
LCM(66528,66540) = 4426773120 / 12
LCM(66528,66540) = 368897760

Least Common Multiple (LCM) of 66528 and 66540 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66528 and 66540. First we will calculate the prime factors of 66528 and 66540.

Prime Factorization of 66528

Prime Factorization of 66540

Now multiplying the highest exponent prime factors to calculate the LCM of 66528 and 66540.

LCM(66528,66540) = 2⁵ × 3³ × 7¹ × 11¹ × 5¹ × 1109¹
LCM(66528,66540) = 368897760