What is the Least Common Multiple of 93195 and 93214?

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 93195 and 93214 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93195 and 93214, than apply into the LCM equation.

GCF(93195,93214) = 19
LCM(93195,93214) = ( 93195 × 93214) / 19
LCM(93195,93214) = 8687078730 / 19
LCM(93195,93214) = 457214670

Least Common Multiple (LCM) of 93195 and 93214 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93195 and 93214. First we will calculate the prime factors of 93195 and 93214.

Prime Factorization of 93195

Prime Factorization of 93214

Now multiplying the highest exponent prime factors to calculate the LCM of 93195 and 93214.

LCM(93195,93214) = 3² × 5¹ × 19¹ × 109¹ × 2¹ × 11¹ × 223¹
LCM(93195,93214) = 457214670