What is the Least Common Multiple of 31065 and 31084?

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 31065 and 31084 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31065 and 31084, than apply into the LCM equation.

GCF(31065,31084) = 19
LCM(31065,31084) = ( 31065 × 31084) / 19
LCM(31065,31084) = 965624460 / 19
LCM(31065,31084) = 50822340

Least Common Multiple (LCM) of 31065 and 31084 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31065 and 31084. First we will calculate the prime factors of 31065 and 31084.

Prime Factorization of 31065

Prime Factorization of 31084

Now multiplying the highest exponent prime factors to calculate the LCM of 31065 and 31084.

LCM(31065,31084) = 3¹ × 5¹ × 19¹ × 109¹ × 2² × 409¹
LCM(31065,31084) = 50822340