What is the Least Common Multiple of 75115 and 75135?

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 75115 and 75135 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75115 and 75135, than apply into the LCM equation.

GCF(75115,75135) = 5
LCM(75115,75135) = ( 75115 × 75135) / 5
LCM(75115,75135) = 5643765525 / 5
LCM(75115,75135) = 1128753105

Least Common Multiple (LCM) of 75115 and 75135 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75115 and 75135. First we will calculate the prime factors of 75115 and 75135.

Prime Factorization of 75115

Prime Factorization of 75135

Now multiplying the highest exponent prime factors to calculate the LCM of 75115 and 75135.

LCM(75115,75135) = 5¹ × 83¹ × 181¹ × 3¹ × 5009¹
LCM(75115,75135) = 1128753105