What is the Least Common Multiple of 31520 and 31535?

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 31520 and 31535 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31520 and 31535, than apply into the LCM equation.

GCF(31520,31535) = 5
LCM(31520,31535) = ( 31520 × 31535) / 5
LCM(31520,31535) = 993983200 / 5
LCM(31520,31535) = 198796640

Least Common Multiple (LCM) of 31520 and 31535 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31520 and 31535. First we will calculate the prime factors of 31520 and 31535.

Prime Factorization of 31520

Prime Factorization of 31535

Now multiplying the highest exponent prime factors to calculate the LCM of 31520 and 31535.

LCM(31520,31535) = 2⁵ × 5¹ × 197¹ × 7¹ × 17¹ × 53¹
LCM(31520,31535) = 198796640