What is the Least Common Multiple of 71532 and 71551?

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 71551 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 71551, than apply into the LCM equation.

GCF(71532,71551) = 1
LCM(71532,71551) = ( 71532 × 71551) / 1
LCM(71532,71551) = 5118186132 / 1
LCM(71532,71551) = 5118186132

Least Common Multiple (LCM) of 71532 and 71551 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71532 and 71551. First we will calculate the prime factors of 71532 and 71551.

Prime Factorization of 71532

Prime Factorization of 71551

Now multiplying the highest exponent prime factors to calculate the LCM of 71532 and 71551.

LCM(71532,71551) = 2² × 3² × 1987¹ × 71551¹
LCM(71532,71551) = 5118186132