What is the Least Common Multiple of 35805 and 35815?

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 35805 and 35815 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35805 and 35815, than apply into the LCM equation.

GCF(35805,35815) = 5
LCM(35805,35815) = ( 35805 × 35815) / 5
LCM(35805,35815) = 1282356075 / 5
LCM(35805,35815) = 256471215

Least Common Multiple (LCM) of 35805 and 35815 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35805 and 35815. First we will calculate the prime factors of 35805 and 35815.

Prime Factorization of 35805

Prime Factorization of 35815

Now multiplying the highest exponent prime factors to calculate the LCM of 35805 and 35815.

LCM(35805,35815) = 3¹ × 5¹ × 7¹ × 11¹ × 31¹ × 13¹ × 19¹ × 29¹
LCM(35805,35815) = 256471215