What is the Least Common Multiple of 35520 and 35538?

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 35538 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 35538, than apply into the LCM equation.

GCF(35520,35538) = 6
LCM(35520,35538) = ( 35520 × 35538) / 6
LCM(35520,35538) = 1262309760 / 6
LCM(35520,35538) = 210384960

Least Common Multiple (LCM) of 35520 and 35538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35520 and 35538. First we will calculate the prime factors of 35520 and 35538.

Prime Factorization of 35520

Prime Factorization of 35538

Now multiplying the highest exponent prime factors to calculate the LCM of 35520 and 35538.

LCM(35520,35538) = 2⁶ × 3¹ × 5¹ × 37¹ × 5923¹
LCM(35520,35538) = 210384960