What is the Least Common Multiple of 71214 and 71233?

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 71214 and 71233 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71214 and 71233, than apply into the LCM equation.

GCF(71214,71233) = 1
LCM(71214,71233) = ( 71214 × 71233) / 1
LCM(71214,71233) = 5072786862 / 1
LCM(71214,71233) = 5072786862

Least Common Multiple (LCM) of 71214 and 71233 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71214 and 71233. First we will calculate the prime factors of 71214 and 71233.

Prime Factorization of 71214

Prime Factorization of 71233

Now multiplying the highest exponent prime factors to calculate the LCM of 71214 and 71233.

LCM(71214,71233) = 2¹ × 3¹ × 11¹ × 13¹ × 83¹ × 71233¹
LCM(71214,71233) = 5072786862