What is the Least Common Multiple of 75971 and 75988?

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 75971 and 75988 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75971 and 75988, than apply into the LCM equation.

GCF(75971,75988) = 1
LCM(75971,75988) = ( 75971 × 75988) / 1
LCM(75971,75988) = 5772884348 / 1
LCM(75971,75988) = 5772884348

Least Common Multiple (LCM) of 75971 and 75988 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75971 and 75988. First we will calculate the prime factors of 75971 and 75988.

Prime Factorization of 75971

Prime Factorization of 75988

Now multiplying the highest exponent prime factors to calculate the LCM of 75971 and 75988.

LCM(75971,75988) = 7¹ × 10853¹ × 2² × 11² × 157¹
LCM(75971,75988) = 5772884348