What is the Least Common Multiple of 31438 and 31458?

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 31438 and 31458 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31438 and 31458, than apply into the LCM equation.

GCF(31438,31458) = 2
LCM(31438,31458) = ( 31438 × 31458) / 2
LCM(31438,31458) = 988976604 / 2
LCM(31438,31458) = 494488302

Least Common Multiple (LCM) of 31438 and 31458 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31438 and 31458. First we will calculate the prime factors of 31438 and 31458.

Prime Factorization of 31438

Prime Factorization of 31458

Now multiplying the highest exponent prime factors to calculate the LCM of 31438 and 31458.

LCM(31438,31458) = 2¹ × 11¹ × 1429¹ × 3¹ × 7² × 107¹
LCM(31438,31458) = 494488302