What is the Least Common Multiple of 35723 and 35741?

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 35723 and 35741 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35723 and 35741, than apply into the LCM equation.

GCF(35723,35741) = 1
LCM(35723,35741) = ( 35723 × 35741) / 1
LCM(35723,35741) = 1276775743 / 1
LCM(35723,35741) = 1276775743

Least Common Multiple (LCM) of 35723 and 35741 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35723 and 35741. First we will calculate the prime factors of 35723 and 35741.

Prime Factorization of 35723

Prime Factorization of 35741

Now multiplying the highest exponent prime factors to calculate the LCM of 35723 and 35741.

LCM(35723,35741) = 139¹ × 257¹ × 103¹ × 347¹
LCM(35723,35741) = 1276775743