What is the Least Common Multiple of 48919 and 48929?

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 48919 and 48929 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48919 and 48929, than apply into the LCM equation.

GCF(48919,48929) = 1
LCM(48919,48929) = ( 48919 × 48929) / 1
LCM(48919,48929) = 2393557751 / 1
LCM(48919,48929) = 2393557751

Least Common Multiple (LCM) of 48919 and 48929 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48919 and 48929. First we will calculate the prime factors of 48919 and 48929.

Prime Factorization of 48919

Prime Factorization of 48929

Now multiplying the highest exponent prime factors to calculate the LCM of 48919 and 48929.

LCM(48919,48929) = 13¹ × 53¹ × 71¹ × 113¹ × 433¹
LCM(48919,48929) = 2393557751