What is the Least Common Multiple of 31790 and 31807?

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 31790 and 31807 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31790 and 31807, than apply into the LCM equation.

GCF(31790,31807) = 17
LCM(31790,31807) = ( 31790 × 31807) / 17
LCM(31790,31807) = 1011144530 / 17
LCM(31790,31807) = 59479090

Least Common Multiple (LCM) of 31790 and 31807 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31790 and 31807. First we will calculate the prime factors of 31790 and 31807.

Prime Factorization of 31790

Prime Factorization of 31807

Now multiplying the highest exponent prime factors to calculate the LCM of 31790 and 31807.

LCM(31790,31807) = 2¹ × 5¹ × 11¹ × 17² × 1871¹
LCM(31790,31807) = 59479090