What is the Least Common Multiple of 49275 and 49292?

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 49275 and 49292 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49275 and 49292, than apply into the LCM equation.

GCF(49275,49292) = 1
LCM(49275,49292) = ( 49275 × 49292) / 1
LCM(49275,49292) = 2428863300 / 1
LCM(49275,49292) = 2428863300

Least Common Multiple (LCM) of 49275 and 49292 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49275 and 49292. First we will calculate the prime factors of 49275 and 49292.

Prime Factorization of 49275

Prime Factorization of 49292

Now multiplying the highest exponent prime factors to calculate the LCM of 49275 and 49292.

LCM(49275,49292) = 3³ × 5² × 73¹ × 2² × 12323¹
LCM(49275,49292) = 2428863300