What is the Least Common Multiple of 71536 and 71550?

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 71536 and 71550 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71536 and 71550, than apply into the LCM equation.

GCF(71536,71550) = 2
LCM(71536,71550) = ( 71536 × 71550) / 2
LCM(71536,71550) = 5118400800 / 2
LCM(71536,71550) = 2559200400

Least Common Multiple (LCM) of 71536 and 71550 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71536 and 71550. First we will calculate the prime factors of 71536 and 71550.

Prime Factorization of 71536

Prime Factorization of 71550

Now multiplying the highest exponent prime factors to calculate the LCM of 71536 and 71550.

LCM(71536,71550) = 2⁴ × 17¹ × 263¹ × 3³ × 5² × 53¹
LCM(71536,71550) = 2559200400