What is the Least Common Multiple of 35705 and 35723?

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 35705 and 35723 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35705 and 35723, than apply into the LCM equation.

GCF(35705,35723) = 1
LCM(35705,35723) = ( 35705 × 35723) / 1
LCM(35705,35723) = 1275489715 / 1
LCM(35705,35723) = 1275489715

Least Common Multiple (LCM) of 35705 and 35723 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35705 and 35723. First we will calculate the prime factors of 35705 and 35723.

Prime Factorization of 35705

Prime Factorization of 35723

Now multiplying the highest exponent prime factors to calculate the LCM of 35705 and 35723.

LCM(35705,35723) = 5¹ × 37¹ × 193¹ × 139¹ × 257¹
LCM(35705,35723) = 1275489715