What is the Least Common Multiple of 94095 and 94105?

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 94095 and 94105 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94095 and 94105, than apply into the LCM equation.

GCF(94095,94105) = 5
LCM(94095,94105) = ( 94095 × 94105) / 5
LCM(94095,94105) = 8854809975 / 5
LCM(94095,94105) = 1770961995

Least Common Multiple (LCM) of 94095 and 94105 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94095 and 94105. First we will calculate the prime factors of 94095 and 94105.

Prime Factorization of 94095

Prime Factorization of 94105

Now multiplying the highest exponent prime factors to calculate the LCM of 94095 and 94105.

LCM(94095,94105) = 3³ × 5¹ × 17¹ × 41¹ × 11¹ × 29¹ × 59¹
LCM(94095,94105) = 1770961995