What is the Least Common Multiple of 35805 and 35814?

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 35814 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 35814, than apply into the LCM equation.

GCF(35805,35814) = 3
LCM(35805,35814) = ( 35805 × 35814) / 3
LCM(35805,35814) = 1282320270 / 3
LCM(35805,35814) = 427440090

Least Common Multiple (LCM) of 35805 and 35814 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35805 and 35814. First we will calculate the prime factors of 35805 and 35814.

Prime Factorization of 35805

Prime Factorization of 35814

Now multiplying the highest exponent prime factors to calculate the LCM of 35805 and 35814.

LCM(35805,35814) = 3¹ × 5¹ × 7¹ × 11¹ × 31¹ × 2¹ × 47¹ × 127¹
LCM(35805,35814) = 427440090