What is the Least Common Multiple of 42578 and 42596?

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 42578 and 42596 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42578 and 42596, than apply into the LCM equation.

GCF(42578,42596) = 2
LCM(42578,42596) = ( 42578 × 42596) / 2
LCM(42578,42596) = 1813652488 / 2
LCM(42578,42596) = 906826244

Least Common Multiple (LCM) of 42578 and 42596 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42578 and 42596. First we will calculate the prime factors of 42578 and 42596.

Prime Factorization of 42578

Prime Factorization of 42596

Now multiplying the highest exponent prime factors to calculate the LCM of 42578 and 42596.

LCM(42578,42596) = 2² × 61¹ × 349¹ × 23¹ × 463¹
LCM(42578,42596) = 906826244