What is the Least Common Multiple of 71820 and 71834?

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 71820 and 71834 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71820 and 71834, than apply into the LCM equation.

GCF(71820,71834) = 14
LCM(71820,71834) = ( 71820 × 71834) / 14
LCM(71820,71834) = 5159117880 / 14
LCM(71820,71834) = 368508420

Least Common Multiple (LCM) of 71820 and 71834 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71820 and 71834. First we will calculate the prime factors of 71820 and 71834.

Prime Factorization of 71820

Prime Factorization of 71834

Now multiplying the highest exponent prime factors to calculate the LCM of 71820 and 71834.

LCM(71820,71834) = 2² × 3³ × 5¹ × 7² × 19¹ × 733¹
LCM(71820,71834) = 368508420