What is the Least Common Multiple of 42688 and 42705?

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 42688 and 42705 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42688 and 42705, than apply into the LCM equation.

GCF(42688,42705) = 1
LCM(42688,42705) = ( 42688 × 42705) / 1
LCM(42688,42705) = 1822991040 / 1
LCM(42688,42705) = 1822991040

Least Common Multiple (LCM) of 42688 and 42705 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42688 and 42705. First we will calculate the prime factors of 42688 and 42705.

Prime Factorization of 42688

Prime Factorization of 42705

Now multiplying the highest exponent prime factors to calculate the LCM of 42688 and 42705.

LCM(42688,42705) = 2⁶ × 23¹ × 29¹ × 3² × 5¹ × 13¹ × 73¹
LCM(42688,42705) = 1822991040