What is the Least Common Multiple of 66708 and 66727?

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 66708 and 66727 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66708 and 66727, than apply into the LCM equation.

GCF(66708,66727) = 1
LCM(66708,66727) = ( 66708 × 66727) / 1
LCM(66708,66727) = 4451224716 / 1
LCM(66708,66727) = 4451224716

Least Common Multiple (LCM) of 66708 and 66727 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66708 and 66727. First we will calculate the prime factors of 66708 and 66727.

Prime Factorization of 66708

Prime Factorization of 66727

Now multiplying the highest exponent prime factors to calculate the LCM of 66708 and 66727.

LCM(66708,66727) = 2² × 3² × 17¹ × 109¹ × 53¹ × 1259¹
LCM(66708,66727) = 4451224716