What is the Least Common Multiple of 31109 and 31126?

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 31109 and 31126 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31109 and 31126, than apply into the LCM equation.

GCF(31109,31126) = 1
LCM(31109,31126) = ( 31109 × 31126) / 1
LCM(31109,31126) = 968298734 / 1
LCM(31109,31126) = 968298734

Least Common Multiple (LCM) of 31109 and 31126 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31109 and 31126. First we will calculate the prime factors of 31109 and 31126.

Prime Factorization of 31109

Prime Factorization of 31126

Now multiplying the highest exponent prime factors to calculate the LCM of 31109 and 31126.

LCM(31109,31126) = 13¹ × 2393¹ × 2¹ × 79¹ × 197¹
LCM(31109,31126) = 968298734