What is the Least Common Multiple of 5902 and 5921?

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 5902 and 5921 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5902 and 5921, than apply into the LCM equation.

GCF(5902,5921) = 1
LCM(5902,5921) = ( 5902 × 5921) / 1
LCM(5902,5921) = 34945742 / 1
LCM(5902,5921) = 34945742

Least Common Multiple (LCM) of 5902 and 5921 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5902 and 5921. First we will calculate the prime factors of 5902 and 5921.

Prime Factorization of 5902

Prime Factorization of 5921

Now multiplying the highest exponent prime factors to calculate the LCM of 5902 and 5921.

LCM(5902,5921) = 2¹ × 13¹ × 227¹ × 31¹ × 191¹
LCM(5902,5921) = 34945742