What is the Least Common Multiple of 66105 and 66125?

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 66105 and 66125 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66105 and 66125, than apply into the LCM equation.

GCF(66105,66125) = 5
LCM(66105,66125) = ( 66105 × 66125) / 5
LCM(66105,66125) = 4371193125 / 5
LCM(66105,66125) = 874238625

Least Common Multiple (LCM) of 66105 and 66125 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66105 and 66125. First we will calculate the prime factors of 66105 and 66125.

Prime Factorization of 66105

Prime Factorization of 66125

Now multiplying the highest exponent prime factors to calculate the LCM of 66105 and 66125.

LCM(66105,66125) = 3² × 5³ × 13¹ × 113¹ × 23²
LCM(66105,66125) = 874238625