What is the Least Common Multiple of 66885 and 66905?

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 66885 and 66905 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66885 and 66905, than apply into the LCM equation.

GCF(66885,66905) = 5
LCM(66885,66905) = ( 66885 × 66905) / 5
LCM(66885,66905) = 4474940925 / 5
LCM(66885,66905) = 894988185

Least Common Multiple (LCM) of 66885 and 66905 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66885 and 66905. First we will calculate the prime factors of 66885 and 66905.

Prime Factorization of 66885

Prime Factorization of 66905

Now multiplying the highest exponent prime factors to calculate the LCM of 66885 and 66905.

LCM(66885,66905) = 3¹ × 5¹ × 7³ × 13¹ × 13381¹
LCM(66885,66905) = 894988185