What is the Least Common Multiple of 31846 and 31862?

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 31846 and 31862 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31846 and 31862, than apply into the LCM equation.

GCF(31846,31862) = 2
LCM(31846,31862) = ( 31846 × 31862) / 2
LCM(31846,31862) = 1014677252 / 2
LCM(31846,31862) = 507338626

Least Common Multiple (LCM) of 31846 and 31862 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31846 and 31862. First we will calculate the prime factors of 31846 and 31862.

Prime Factorization of 31846

Prime Factorization of 31862

Now multiplying the highest exponent prime factors to calculate the LCM of 31846 and 31862.

LCM(31846,31862) = 2¹ × 15923¹ × 89¹ × 179¹
LCM(31846,31862) = 507338626