What is the Least Common Multiple of 66540 and 66549?

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 66549 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 66549, than apply into the LCM equation.

GCF(66540,66549) = 3
LCM(66540,66549) = ( 66540 × 66549) / 3
LCM(66540,66549) = 4428170460 / 3
LCM(66540,66549) = 1476056820

Least Common Multiple (LCM) of 66540 and 66549 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66540 and 66549. First we will calculate the prime factors of 66540 and 66549.

Prime Factorization of 66540

Prime Factorization of 66549

Now multiplying the highest exponent prime factors to calculate the LCM of 66540 and 66549.

LCM(66540,66549) = 2² × 3¹ × 5¹ × 1109¹ × 7¹ × 3169¹
LCM(66540,66549) = 1476056820