What is the Least Common Multiple of 31496 and 31516?

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 31496 and 31516 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31496 and 31516, than apply into the LCM equation.

GCF(31496,31516) = 4
LCM(31496,31516) = ( 31496 × 31516) / 4
LCM(31496,31516) = 992627936 / 4
LCM(31496,31516) = 248156984

Least Common Multiple (LCM) of 31496 and 31516 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31496 and 31516. First we will calculate the prime factors of 31496 and 31516.

Prime Factorization of 31496

Prime Factorization of 31516

Now multiplying the highest exponent prime factors to calculate the LCM of 31496 and 31516.

LCM(31496,31516) = 2³ × 31¹ × 127¹ × 7879¹
LCM(31496,31516) = 248156984