What is the Least Common Multiple of 75095 and 75106?

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 75095 and 75106 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75095 and 75106, than apply into the LCM equation.

GCF(75095,75106) = 1
LCM(75095,75106) = ( 75095 × 75106) / 1
LCM(75095,75106) = 5640085070 / 1
LCM(75095,75106) = 5640085070

Least Common Multiple (LCM) of 75095 and 75106 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75095 and 75106. First we will calculate the prime factors of 75095 and 75106.

Prime Factorization of 75095

Prime Factorization of 75106

Now multiplying the highest exponent prime factors to calculate the LCM of 75095 and 75106.

LCM(75095,75106) = 5¹ × 23¹ × 653¹ × 2¹ × 17¹ × 47²
LCM(75095,75106) = 5640085070