What is the Least Common Multiple of 51345 and 51349?

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 51345 and 51349 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51345 and 51349, than apply into the LCM equation.

GCF(51345,51349) = 1
LCM(51345,51349) = ( 51345 × 51349) / 1
LCM(51345,51349) = 2636514405 / 1
LCM(51345,51349) = 2636514405

Least Common Multiple (LCM) of 51345 and 51349 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51345 and 51349. First we will calculate the prime factors of 51345 and 51349.

Prime Factorization of 51345

Prime Factorization of 51349

Now multiplying the highest exponent prime factors to calculate the LCM of 51345 and 51349.

LCM(51345,51349) = 3² × 5¹ × 7¹ × 163¹ × 51349¹
LCM(51345,51349) = 2636514405