What is the Least Common Multiple of 75975 and 75990?

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 75975 and 75990 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75975 and 75990, than apply into the LCM equation.

GCF(75975,75990) = 15
LCM(75975,75990) = ( 75975 × 75990) / 15
LCM(75975,75990) = 5773340250 / 15
LCM(75975,75990) = 384889350

Least Common Multiple (LCM) of 75975 and 75990 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75975 and 75990. First we will calculate the prime factors of 75975 and 75990.

Prime Factorization of 75975

Prime Factorization of 75990

Now multiplying the highest exponent prime factors to calculate the LCM of 75975 and 75990.

LCM(75975,75990) = 3¹ × 5² × 1013¹ × 2¹ × 17¹ × 149¹
LCM(75975,75990) = 384889350