What is the Least Common Multiple of 42976 and 42993?

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 42976 and 42993 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42976 and 42993, than apply into the LCM equation.

GCF(42976,42993) = 17
LCM(42976,42993) = ( 42976 × 42993) / 17
LCM(42976,42993) = 1847667168 / 17
LCM(42976,42993) = 108686304

Least Common Multiple (LCM) of 42976 and 42993 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42976 and 42993. First we will calculate the prime factors of 42976 and 42993.

Prime Factorization of 42976

Prime Factorization of 42993

Now multiplying the highest exponent prime factors to calculate the LCM of 42976 and 42993.

LCM(42976,42993) = 2⁵ × 17¹ × 79¹ × 3² × 281¹
LCM(42976,42993) = 108686304