What is the Least Common Multiple of 42468 and 42488?

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 42468 and 42488 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42468 and 42488, than apply into the LCM equation.

GCF(42468,42488) = 4
LCM(42468,42488) = ( 42468 × 42488) / 4
LCM(42468,42488) = 1804380384 / 4
LCM(42468,42488) = 451095096

Least Common Multiple (LCM) of 42468 and 42488 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42468 and 42488. First we will calculate the prime factors of 42468 and 42488.

Prime Factorization of 42468

Prime Factorization of 42488

Now multiplying the highest exponent prime factors to calculate the LCM of 42468 and 42488.

LCM(42468,42488) = 2³ × 3¹ × 3539¹ × 47¹ × 113¹
LCM(42468,42488) = 451095096