What is the Least Common Multiple of 35500 and 35520?

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 35500 and 35520 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35500 and 35520, than apply into the LCM equation.

GCF(35500,35520) = 20
LCM(35500,35520) = ( 35500 × 35520) / 20
LCM(35500,35520) = 1260960000 / 20
LCM(35500,35520) = 63048000

Least Common Multiple (LCM) of 35500 and 35520 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35500 and 35520. First we will calculate the prime factors of 35500 and 35520.

Prime Factorization of 35500

Prime Factorization of 35520

Now multiplying the highest exponent prime factors to calculate the LCM of 35500 and 35520.

LCM(35500,35520) = 2⁶ × 5³ × 71¹ × 3¹ × 37¹
LCM(35500,35520) = 63048000