What is the Least Common Multiple of 84414 and 84423?

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 84414 and 84423 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84414 and 84423, than apply into the LCM equation.

GCF(84414,84423) = 3
LCM(84414,84423) = ( 84414 × 84423) / 3
LCM(84414,84423) = 7126483122 / 3
LCM(84414,84423) = 2375494374

Least Common Multiple (LCM) of 84414 and 84423 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84414 and 84423. First we will calculate the prime factors of 84414 and 84423.

Prime Factorization of 84414

Prime Factorization of 84423

Now multiplying the highest exponent prime factors to calculate the LCM of 84414 and 84423.

LCM(84414,84423) = 2¹ × 3¹ × 11¹ × 1279¹ × 107¹ × 263¹
LCM(84414,84423) = 2375494374