What is the Least Common Multiple of 35243 and 35247?

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 35243 and 35247 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35243 and 35247, than apply into the LCM equation.

GCF(35243,35247) = 1
LCM(35243,35247) = ( 35243 × 35247) / 1
LCM(35243,35247) = 1242210021 / 1
LCM(35243,35247) = 1242210021

Least Common Multiple (LCM) of 35243 and 35247 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35243 and 35247. First we will calculate the prime factors of 35243 and 35247.

Prime Factorization of 35243

Prime Factorization of 35247

Now multiplying the highest exponent prime factors to calculate the LCM of 35243 and 35247.

LCM(35243,35247) = 13¹ × 2711¹ × 3¹ × 31¹ × 379¹
LCM(35243,35247) = 1242210021