What is the Least Common Multiple of 49245 and 49257?

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 49245 and 49257 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49245 and 49257, than apply into the LCM equation.

GCF(49245,49257) = 3
LCM(49245,49257) = ( 49245 × 49257) / 3
LCM(49245,49257) = 2425660965 / 3
LCM(49245,49257) = 808553655

Least Common Multiple (LCM) of 49245 and 49257 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49245 and 49257. First we will calculate the prime factors of 49245 and 49257.

Prime Factorization of 49245

Prime Factorization of 49257

Now multiplying the highest exponent prime factors to calculate the LCM of 49245 and 49257.

LCM(49245,49257) = 3² × 5¹ × 7² × 67¹ × 13¹ × 421¹
LCM(49245,49257) = 808553655