What is the Least Common Multiple of 75799 and 75813?

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 75799 and 75813 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75799 and 75813, than apply into the LCM equation.

GCF(75799,75813) = 1
LCM(75799,75813) = ( 75799 × 75813) / 1
LCM(75799,75813) = 5746549587 / 1
LCM(75799,75813) = 5746549587

Least Common Multiple (LCM) of 75799 and 75813 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75799 and 75813. First we will calculate the prime factors of 75799 and 75813.

Prime Factorization of 75799

Prime Factorization of 75813

Now multiplying the highest exponent prime factors to calculate the LCM of 75799 and 75813.

LCM(75799,75813) = 229¹ × 331¹ × 3¹ × 37¹ × 683¹
LCM(75799,75813) = 5746549587