What is the Least Common Multiple of 75919 and 75937?

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 75919 and 75937 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75919 and 75937, than apply into the LCM equation.

GCF(75919,75937) = 1
LCM(75919,75937) = ( 75919 × 75937) / 1
LCM(75919,75937) = 5765061103 / 1
LCM(75919,75937) = 5765061103

Least Common Multiple (LCM) of 75919 and 75937 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75919 and 75937. First we will calculate the prime factors of 75919 and 75937.

Prime Factorization of 75919

Prime Factorization of 75937

Now multiplying the highest exponent prime factors to calculate the LCM of 75919 and 75937.

LCM(75919,75937) = 31² × 79¹ × 75937¹
LCM(75919,75937) = 5765061103