What is the Least Common Multiple of 31731 and 31742?

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 31731 and 31742 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31731 and 31742, than apply into the LCM equation.

GCF(31731,31742) = 1
LCM(31731,31742) = ( 31731 × 31742) / 1
LCM(31731,31742) = 1007205402 / 1
LCM(31731,31742) = 1007205402

Least Common Multiple (LCM) of 31731 and 31742 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31731 and 31742. First we will calculate the prime factors of 31731 and 31742.

Prime Factorization of 31731

Prime Factorization of 31742

Now multiplying the highest exponent prime factors to calculate the LCM of 31731 and 31742.

LCM(31731,31742) = 3¹ × 7¹ × 1511¹ × 2¹ × 59¹ × 269¹
LCM(31731,31742) = 1007205402