What is the Least Common Multiple of 74895 and 74905?

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 74895 and 74905 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74895 and 74905, than apply into the LCM equation.

GCF(74895,74905) = 5
LCM(74895,74905) = ( 74895 × 74905) / 5
LCM(74895,74905) = 5610009975 / 5
LCM(74895,74905) = 1122001995

Least Common Multiple (LCM) of 74895 and 74905 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74895 and 74905. First we will calculate the prime factors of 74895 and 74905.

Prime Factorization of 74895

Prime Factorization of 74905

Now multiplying the highest exponent prime factors to calculate the LCM of 74895 and 74905.

LCM(74895,74905) = 3¹ × 5¹ × 4993¹ × 71¹ × 211¹
LCM(74895,74905) = 1122001995