What is the Least Common Multiple of 49319 and 49337?

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 49319 and 49337 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49319 and 49337, than apply into the LCM equation.

GCF(49319,49337) = 1
LCM(49319,49337) = ( 49319 × 49337) / 1
LCM(49319,49337) = 2433251503 / 1
LCM(49319,49337) = 2433251503

Least Common Multiple (LCM) of 49319 and 49337 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49319 and 49337. First we will calculate the prime factors of 49319 and 49337.

Prime Factorization of 49319

Prime Factorization of 49337

Now multiplying the highest exponent prime factors to calculate the LCM of 49319 and 49337.

LCM(49319,49337) = 149¹ × 331¹ × 103¹ × 479¹
LCM(49319,49337) = 2433251503