What is the Least Common Multiple of 48993 and 49007?

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 48993 and 49007 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48993 and 49007, than apply into the LCM equation.

GCF(48993,49007) = 7
LCM(48993,49007) = ( 48993 × 49007) / 7
LCM(48993,49007) = 2400999951 / 7
LCM(48993,49007) = 342999993

Least Common Multiple (LCM) of 48993 and 49007 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48993 and 49007. First we will calculate the prime factors of 48993 and 49007.

Prime Factorization of 48993

Prime Factorization of 49007

Now multiplying the highest exponent prime factors to calculate the LCM of 48993 and 49007.

LCM(48993,49007) = 3¹ × 7¹ × 2333¹ × 7001¹
LCM(48993,49007) = 342999993