What is the Least Common Multiple of 31624 and 31636?

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 31624 and 31636 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31624 and 31636, than apply into the LCM equation.

GCF(31624,31636) = 4
LCM(31624,31636) = ( 31624 × 31636) / 4
LCM(31624,31636) = 1000456864 / 4
LCM(31624,31636) = 250114216

Least Common Multiple (LCM) of 31624 and 31636 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31624 and 31636. First we will calculate the prime factors of 31624 and 31636.

Prime Factorization of 31624

Prime Factorization of 31636

Now multiplying the highest exponent prime factors to calculate the LCM of 31624 and 31636.

LCM(31624,31636) = 2³ × 59¹ × 67¹ × 11¹ × 719¹
LCM(31624,31636) = 250114216