What is the Least Common Multiple of 35345 and 35363?

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 35345 and 35363 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35345 and 35363, than apply into the LCM equation.

GCF(35345,35363) = 1
LCM(35345,35363) = ( 35345 × 35363) / 1
LCM(35345,35363) = 1249905235 / 1
LCM(35345,35363) = 1249905235

Least Common Multiple (LCM) of 35345 and 35363 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35345 and 35363. First we will calculate the prime factors of 35345 and 35363.

Prime Factorization of 35345

Prime Factorization of 35363

Now multiplying the highest exponent prime factors to calculate the LCM of 35345 and 35363.

LCM(35345,35363) = 5¹ × 7069¹ × 35363¹
LCM(35345,35363) = 1249905235