What is the Least Common Multiple of 35045 and 35057?

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 35045 and 35057 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35045 and 35057, than apply into the LCM equation.

GCF(35045,35057) = 1
LCM(35045,35057) = ( 35045 × 35057) / 1
LCM(35045,35057) = 1228572565 / 1
LCM(35045,35057) = 1228572565

Least Common Multiple (LCM) of 35045 and 35057 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35045 and 35057. First we will calculate the prime factors of 35045 and 35057.

Prime Factorization of 35045

Prime Factorization of 35057

Now multiplying the highest exponent prime factors to calculate the LCM of 35045 and 35057.

LCM(35045,35057) = 5¹ × 43¹ × 163¹ × 11¹ × 3187¹
LCM(35045,35057) = 1228572565