What is the Least Common Multiple of 31678 and 31694?

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 31678 and 31694 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31678 and 31694, than apply into the LCM equation.

GCF(31678,31694) = 2
LCM(31678,31694) = ( 31678 × 31694) / 2
LCM(31678,31694) = 1004002532 / 2
LCM(31678,31694) = 502001266

Least Common Multiple (LCM) of 31678 and 31694 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31678 and 31694. First we will calculate the prime factors of 31678 and 31694.

Prime Factorization of 31678

Prime Factorization of 31694

Now multiplying the highest exponent prime factors to calculate the LCM of 31678 and 31694.

LCM(31678,31694) = 2¹ × 47¹ × 337¹ × 13¹ × 23¹ × 53¹
LCM(31678,31694) = 502001266