What is the Least Common Multiple of 75975 and 75993?

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 75993 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 75993, than apply into the LCM equation.

GCF(75975,75993) = 3
LCM(75975,75993) = ( 75975 × 75993) / 3
LCM(75975,75993) = 5773568175 / 3
LCM(75975,75993) = 1924522725

Least Common Multiple (LCM) of 75975 and 75993 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75975 and 75993. First we will calculate the prime factors of 75975 and 75993.

Prime Factorization of 75975

Prime Factorization of 75993

Now multiplying the highest exponent prime factors to calculate the LCM of 75975 and 75993.

LCM(75975,75993) = 3¹ × 5² × 1013¹ × 73¹ × 347¹
LCM(75975,75993) = 1924522725