What is the Least Common Multiple of 42414 and 42423?

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 42414 and 42423 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42414 and 42423, than apply into the LCM equation.

GCF(42414,42423) = 3
LCM(42414,42423) = ( 42414 × 42423) / 3
LCM(42414,42423) = 1799329122 / 3
LCM(42414,42423) = 599776374

Least Common Multiple (LCM) of 42414 and 42423 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42414 and 42423. First we will calculate the prime factors of 42414 and 42423.

Prime Factorization of 42414

Prime Factorization of 42423

Now multiplying the highest exponent prime factors to calculate the LCM of 42414 and 42423.

LCM(42414,42423) = 2¹ × 3¹ × 7069¹ × 79¹ × 179¹
LCM(42414,42423) = 599776374