What is the Least Common Multiple of 49248 and 49258?

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 49248 and 49258 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49248 and 49258, than apply into the LCM equation.

GCF(49248,49258) = 2
LCM(49248,49258) = ( 49248 × 49258) / 2
LCM(49248,49258) = 2425857984 / 2
LCM(49248,49258) = 1212928992

Least Common Multiple (LCM) of 49248 and 49258 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49248 and 49258. First we will calculate the prime factors of 49248 and 49258.

Prime Factorization of 49248

Prime Factorization of 49258

Now multiplying the highest exponent prime factors to calculate the LCM of 49248 and 49258.

LCM(49248,49258) = 2⁵ × 3⁴ × 19¹ × 11¹ × 2239¹
LCM(49248,49258) = 1212928992