What is the Least Common Multiple of 35445 and 35463?

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 35445 and 35463 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35445 and 35463, than apply into the LCM equation.

GCF(35445,35463) = 3
LCM(35445,35463) = ( 35445 × 35463) / 3
LCM(35445,35463) = 1256986035 / 3
LCM(35445,35463) = 418995345

Least Common Multiple (LCM) of 35445 and 35463 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35445 and 35463. First we will calculate the prime factors of 35445 and 35463.

Prime Factorization of 35445

Prime Factorization of 35463

Now multiplying the highest exponent prime factors to calculate the LCM of 35445 and 35463.

LCM(35445,35463) = 3¹ × 5¹ × 17¹ × 139¹ × 11821¹
LCM(35445,35463) = 418995345