What is the Least Common Multiple of 93414 and 93434?

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 93414 and 93434 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93414 and 93434, than apply into the LCM equation.

GCF(93414,93434) = 2
LCM(93414,93434) = ( 93414 × 93434) / 2
LCM(93414,93434) = 8728043676 / 2
LCM(93414,93434) = 4364021838

Least Common Multiple (LCM) of 93414 and 93434 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93414 and 93434. First we will calculate the prime factors of 93414 and 93434.

Prime Factorization of 93414

Prime Factorization of 93434

Now multiplying the highest exponent prime factors to calculate the LCM of 93414 and 93434.

LCM(93414,93434) = 2¹ × 3¹ × 15569¹ × 11¹ × 31¹ × 137¹
LCM(93414,93434) = 4364021838