What is the Least Common Multiple of 31620 and 31637?

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 31620 and 31637 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31620 and 31637, than apply into the LCM equation.

GCF(31620,31637) = 17
LCM(31620,31637) = ( 31620 × 31637) / 17
LCM(31620,31637) = 1000361940 / 17
LCM(31620,31637) = 58844820

Least Common Multiple (LCM) of 31620 and 31637 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31620 and 31637. First we will calculate the prime factors of 31620 and 31637.

Prime Factorization of 31620

Prime Factorization of 31637

Now multiplying the highest exponent prime factors to calculate the LCM of 31620 and 31637.

LCM(31620,31637) = 2² × 3¹ × 5¹ × 17¹ × 31¹ × 1861¹
LCM(31620,31637) = 58844820