What is the Least Common Multiple of 35520 and 35536?

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 35536 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 35536, than apply into the LCM equation.

GCF(35520,35536) = 16
LCM(35520,35536) = ( 35520 × 35536) / 16
LCM(35520,35536) = 1262238720 / 16
LCM(35520,35536) = 78889920

Least Common Multiple (LCM) of 35520 and 35536 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35520 and 35536. First we will calculate the prime factors of 35520 and 35536.

Prime Factorization of 35520

Prime Factorization of 35536

Now multiplying the highest exponent prime factors to calculate the LCM of 35520 and 35536.

LCM(35520,35536) = 2⁶ × 3¹ × 5¹ × 37¹ × 2221¹
LCM(35520,35536) = 78889920