What is the Least Common Multiple of 31535 and 31540?

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 31535 and 31540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31535 and 31540, than apply into the LCM equation.

GCF(31535,31540) = 5
LCM(31535,31540) = ( 31535 × 31540) / 5
LCM(31535,31540) = 994613900 / 5
LCM(31535,31540) = 198922780

Least Common Multiple (LCM) of 31535 and 31540 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31535 and 31540. First we will calculate the prime factors of 31535 and 31540.

Prime Factorization of 31535

Prime Factorization of 31540

Now multiplying the highest exponent prime factors to calculate the LCM of 31535 and 31540.

LCM(31535,31540) = 5¹ × 7¹ × 17¹ × 53¹ × 2² × 19¹ × 83¹
LCM(31535,31540) = 198922780