What is the Least Common Multiple of 71532 and 71547?

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 71532 and 71547 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71532 and 71547, than apply into the LCM equation.

GCF(71532,71547) = 3
LCM(71532,71547) = ( 71532 × 71547) / 3
LCM(71532,71547) = 5117900004 / 3
LCM(71532,71547) = 1705966668

Least Common Multiple (LCM) of 71532 and 71547 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71532 and 71547. First we will calculate the prime factors of 71532 and 71547.

Prime Factorization of 71532

Prime Factorization of 71547

Now multiplying the highest exponent prime factors to calculate the LCM of 71532 and 71547.

LCM(71532,71547) = 2² × 3² × 1987¹ × 7¹ × 3407¹
LCM(71532,71547) = 1705966668