GCF and LCM Calculator Logo

What is the Least Common Multiple of 49262 and 49278?

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 (LCM) of 49262 and 49278 is 1213766418.

LCM(49262,49278) = 1213766418

LCM Calculator and
and

Least Common Multiple of 49262 and 49278 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49262 and 49278, than apply into the LCM equation.

GCF(49262,49278) = 2
LCM(49262,49278) = ( 49262 × 49278) / 2
LCM(49262,49278) = 2427532836 / 2
LCM(49262,49278) = 1213766418

Least Common Multiple (LCM) of 49262 and 49278 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49262 and 49278. First we will calculate the prime factors of 49262 and 49278.

Prime Factorization of 49262

Prime factors of 49262 are 2, 24631. Prime factorization of 49262 in exponential form is:

49262 = 21 × 246311

Prime Factorization of 49278

Prime factors of 49278 are 2, 3, 43, 191. Prime factorization of 49278 in exponential form is:

49278 = 21 × 31 × 431 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 49262 and 49278.

LCM(49262,49278) = 21 × 246311 × 31 × 431 × 1911
LCM(49262,49278) = 1213766418