What is the Least Common Multiple of 31086 and 31105?

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 31086 and 31105 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31086 and 31105, than apply into the LCM equation.

GCF(31086,31105) = 1
LCM(31086,31105) = ( 31086 × 31105) / 1
LCM(31086,31105) = 966930030 / 1
LCM(31086,31105) = 966930030

Least Common Multiple (LCM) of 31086 and 31105 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31086 and 31105. First we will calculate the prime factors of 31086 and 31105.

Prime Factorization of 31086

Prime Factorization of 31105

Now multiplying the highest exponent prime factors to calculate the LCM of 31086 and 31105.

LCM(31086,31105) = 2¹ × 3² × 11¹ × 157¹ × 5¹ × 6221¹
LCM(31086,31105) = 966930030