What is the Least Common Multiple of 35815 and 35834?

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 35815 and 35834 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35815 and 35834, than apply into the LCM equation.

GCF(35815,35834) = 19
LCM(35815,35834) = ( 35815 × 35834) / 19
LCM(35815,35834) = 1283394710 / 19
LCM(35815,35834) = 67547090

Least Common Multiple (LCM) of 35815 and 35834 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35815 and 35834. First we will calculate the prime factors of 35815 and 35834.

Prime Factorization of 35815

Prime Factorization of 35834

Now multiplying the highest exponent prime factors to calculate the LCM of 35815 and 35834.

LCM(35815,35834) = 5¹ × 13¹ × 19¹ × 29¹ × 2¹ × 23¹ × 41¹
LCM(35815,35834) = 67547090