What is the Least Common Multiple of 31414 and 31429?

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 31414 and 31429 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31414 and 31429, than apply into the LCM equation.

GCF(31414,31429) = 1
LCM(31414,31429) = ( 31414 × 31429) / 1
LCM(31414,31429) = 987310606 / 1
LCM(31414,31429) = 987310606

Least Common Multiple (LCM) of 31414 and 31429 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31414 and 31429. First we will calculate the prime factors of 31414 and 31429.

Prime Factorization of 31414

Prime Factorization of 31429

Now multiplying the highest exponent prime factors to calculate the LCM of 31414 and 31429.

LCM(31414,31429) = 2¹ × 113¹ × 139¹ × 53¹ × 593¹
LCM(31414,31429) = 987310606