What is the Least Common Multiple of 93214 and 93233?

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 93214 and 93233 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93214 and 93233, than apply into the LCM equation.

GCF(93214,93233) = 19
LCM(93214,93233) = ( 93214 × 93233) / 19
LCM(93214,93233) = 8690620862 / 19
LCM(93214,93233) = 457401098

Least Common Multiple (LCM) of 93214 and 93233 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93214 and 93233. First we will calculate the prime factors of 93214 and 93233.

Prime Factorization of 93214

Prime Factorization of 93233

Now multiplying the highest exponent prime factors to calculate the LCM of 93214 and 93233.

LCM(93214,93233) = 2¹ × 11¹ × 19¹ × 223¹ × 7¹ × 701¹
LCM(93214,93233) = 457401098