What is the Least Common Multiple of 35354 and 35365?

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 35354 and 35365 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35354 and 35365, than apply into the LCM equation.

GCF(35354,35365) = 11
LCM(35354,35365) = ( 35354 × 35365) / 11
LCM(35354,35365) = 1250294210 / 11
LCM(35354,35365) = 113663110

Least Common Multiple (LCM) of 35354 and 35365 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35354 and 35365. First we will calculate the prime factors of 35354 and 35365.

Prime Factorization of 35354

Prime Factorization of 35365

Now multiplying the highest exponent prime factors to calculate the LCM of 35354 and 35365.

LCM(35354,35365) = 2¹ × 11¹ × 1607¹ × 5¹ × 643¹
LCM(35354,35365) = 113663110