What is the Least Common Multiple of 42005 and 42023?

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 42005 and 42023 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42005 and 42023, than apply into the LCM equation.

GCF(42005,42023) = 1
LCM(42005,42023) = ( 42005 × 42023) / 1
LCM(42005,42023) = 1765176115 / 1
LCM(42005,42023) = 1765176115

Least Common Multiple (LCM) of 42005 and 42023 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42005 and 42023. First we will calculate the prime factors of 42005 and 42023.

Prime Factorization of 42005

Prime Factorization of 42023

Now multiplying the highest exponent prime factors to calculate the LCM of 42005 and 42023.

LCM(42005,42023) = 5¹ × 31¹ × 271¹ × 42023¹
LCM(42005,42023) = 1765176115