What is the Least Common Multiple of 42104 and 42117?

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 42104 and 42117 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42104 and 42117, than apply into the LCM equation.

GCF(42104,42117) = 1
LCM(42104,42117) = ( 42104 × 42117) / 1
LCM(42104,42117) = 1773294168 / 1
LCM(42104,42117) = 1773294168

Least Common Multiple (LCM) of 42104 and 42117 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42104 and 42117. First we will calculate the prime factors of 42104 and 42117.

Prime Factorization of 42104

Prime Factorization of 42117

Now multiplying the highest exponent prime factors to calculate the LCM of 42104 and 42117.

LCM(42104,42117) = 2³ × 19¹ × 277¹ × 3¹ × 101¹ × 139¹
LCM(42104,42117) = 1773294168