What is the Least Common Multiple of 75902 and 75922?

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 75902 and 75922 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75902 and 75922, than apply into the LCM equation.

GCF(75902,75922) = 2
LCM(75902,75922) = ( 75902 × 75922) / 2
LCM(75902,75922) = 5762631644 / 2
LCM(75902,75922) = 2881315822

Least Common Multiple (LCM) of 75902 and 75922 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75902 and 75922. First we will calculate the prime factors of 75902 and 75922.

Prime Factorization of 75902

Prime Factorization of 75922

Now multiplying the highest exponent prime factors to calculate the LCM of 75902 and 75922.

LCM(75902,75922) = 2¹ × 37951¹ × 7¹ × 11¹ × 17¹ × 29¹
LCM(75902,75922) = 2881315822