What is the Least Common Multiple of 30998 and 31006?

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 30998 and 31006 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30998 and 31006, than apply into the LCM equation.

GCF(30998,31006) = 2
LCM(30998,31006) = ( 30998 × 31006) / 2
LCM(30998,31006) = 961123988 / 2
LCM(30998,31006) = 480561994

Least Common Multiple (LCM) of 30998 and 31006 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30998 and 31006. First we will calculate the prime factors of 30998 and 31006.

Prime Factorization of 30998

Prime Factorization of 31006

Now multiplying the highest exponent prime factors to calculate the LCM of 30998 and 31006.

LCM(30998,31006) = 2¹ × 11¹ × 1409¹ × 37¹ × 419¹
LCM(30998,31006) = 480561994