What is the Least Common Multiple of 42608 and 42617?

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 42608 and 42617 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42608 and 42617, than apply into the LCM equation.

GCF(42608,42617) = 1
LCM(42608,42617) = ( 42608 × 42617) / 1
LCM(42608,42617) = 1815825136 / 1
LCM(42608,42617) = 1815825136

Least Common Multiple (LCM) of 42608 and 42617 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42608 and 42617. First we will calculate the prime factors of 42608 and 42617.

Prime Factorization of 42608

Prime Factorization of 42617

Now multiplying the highest exponent prime factors to calculate the LCM of 42608 and 42617.

LCM(42608,42617) = 2⁴ × 2663¹ × 19¹ × 2243¹
LCM(42608,42617) = 1815825136