What is the Least Common Multiple of 71562 and 71566?

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 71562 and 71566 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71562 and 71566, than apply into the LCM equation.

GCF(71562,71566) = 2
LCM(71562,71566) = ( 71562 × 71566) / 2
LCM(71562,71566) = 5121406092 / 2
LCM(71562,71566) = 2560703046

Least Common Multiple (LCM) of 71562 and 71566 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71562 and 71566. First we will calculate the prime factors of 71562 and 71566.

Prime Factorization of 71562

Prime Factorization of 71566

Now multiplying the highest exponent prime factors to calculate the LCM of 71562 and 71566.

LCM(71562,71566) = 2¹ × 3¹ × 11927¹ × 11¹ × 3253¹
LCM(71562,71566) = 2560703046