What is the Least Common Multiple of 66755 and 66770?

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 66755 and 66770 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66755 and 66770, than apply into the LCM equation.

GCF(66755,66770) = 5
LCM(66755,66770) = ( 66755 × 66770) / 5
LCM(66755,66770) = 4457231350 / 5
LCM(66755,66770) = 891446270

Least Common Multiple (LCM) of 66755 and 66770 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66755 and 66770. First we will calculate the prime factors of 66755 and 66770.

Prime Factorization of 66755

Prime Factorization of 66770

Now multiplying the highest exponent prime factors to calculate the LCM of 66755 and 66770.

LCM(66755,66770) = 5¹ × 13² × 79¹ × 2¹ × 11¹ × 607¹
LCM(66755,66770) = 891446270