What is the Least Common Multiple of 71513 and 71532?

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 71513 and 71532 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71513 and 71532, than apply into the LCM equation.

GCF(71513,71532) = 1
LCM(71513,71532) = ( 71513 × 71532) / 1
LCM(71513,71532) = 5115467916 / 1
LCM(71513,71532) = 5115467916

Least Common Multiple (LCM) of 71513 and 71532 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71513 and 71532. First we will calculate the prime factors of 71513 and 71532.

Prime Factorization of 71513

Prime Factorization of 71532

Now multiplying the highest exponent prime factors to calculate the LCM of 71513 and 71532.

LCM(71513,71532) = 13¹ × 5501¹ × 2² × 3² × 1987¹
LCM(71513,71532) = 5115467916