What is the Least Common Multiple of 66745 and 66755?

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 66745 and 66755 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66745 and 66755, than apply into the LCM equation.

GCF(66745,66755) = 5
LCM(66745,66755) = ( 66745 × 66755) / 5
LCM(66745,66755) = 4455562475 / 5
LCM(66745,66755) = 891112495

Least Common Multiple (LCM) of 66745 and 66755 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66745 and 66755. First we will calculate the prime factors of 66745 and 66755.

Prime Factorization of 66745

Prime Factorization of 66755

Now multiplying the highest exponent prime factors to calculate the LCM of 66745 and 66755.

LCM(66745,66755) = 5¹ × 7¹ × 1907¹ × 13² × 79¹
LCM(66745,66755) = 891112495