What is the Least Common Multiple of 66540 and 66550?

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 66550 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 66550, than apply into the LCM equation.

GCF(66540,66550) = 10
LCM(66540,66550) = ( 66540 × 66550) / 10
LCM(66540,66550) = 4428237000 / 10
LCM(66540,66550) = 442823700

Least Common Multiple (LCM) of 66540 and 66550 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66540 and 66550. First we will calculate the prime factors of 66540 and 66550.

Prime Factorization of 66540

Prime Factorization of 66550

Now multiplying the highest exponent prime factors to calculate the LCM of 66540 and 66550.

LCM(66540,66550) = 2² × 3¹ × 5² × 1109¹ × 11³
LCM(66540,66550) = 442823700