What is the Least Common Multiple of 32540 and 32560?

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 32540 and 32560 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32540 and 32560, than apply into the LCM equation.

GCF(32540,32560) = 20
LCM(32540,32560) = ( 32540 × 32560) / 20
LCM(32540,32560) = 1059502400 / 20
LCM(32540,32560) = 52975120

Least Common Multiple (LCM) of 32540 and 32560 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32540 and 32560. First we will calculate the prime factors of 32540 and 32560.

Prime Factorization of 32540

Prime Factorization of 32560

Now multiplying the highest exponent prime factors to calculate the LCM of 32540 and 32560.

LCM(32540,32560) = 2⁴ × 5¹ × 1627¹ × 11¹ × 37¹
LCM(32540,32560) = 52975120