What is the Least Common Multiple of 35520 and 35535?

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 35520 and 35535 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35520 and 35535, than apply into the LCM equation.

GCF(35520,35535) = 15
LCM(35520,35535) = ( 35520 × 35535) / 15
LCM(35520,35535) = 1262203200 / 15
LCM(35520,35535) = 84146880

Least Common Multiple (LCM) of 35520 and 35535 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35520 and 35535. First we will calculate the prime factors of 35520 and 35535.

Prime Factorization of 35520

Prime Factorization of 35535

Now multiplying the highest exponent prime factors to calculate the LCM of 35520 and 35535.

LCM(35520,35535) = 2⁶ × 3¹ × 5¹ × 37¹ × 23¹ × 103¹
LCM(35520,35535) = 84146880