GCF and LCM Calculator Logo

What is the Least Common Multiple of 49037 and 49048?

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 49037 and 49048 is 2405166776.

LCM(49037,49048) = 2405166776

LCM Calculator and
and

Least Common Multiple of 49037 and 49048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49037 and 49048, than apply into the LCM equation.

GCF(49037,49048) = 1
LCM(49037,49048) = ( 49037 × 49048) / 1
LCM(49037,49048) = 2405166776 / 1
LCM(49037,49048) = 2405166776

Least Common Multiple (LCM) of 49037 and 49048 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49037 and 49048. First we will calculate the prime factors of 49037 and 49048.

Prime Factorization of 49037

Prime factors of 49037 are 49037. Prime factorization of 49037 in exponential form is:

49037 = 490371

Prime Factorization of 49048

Prime factors of 49048 are 2, 6131. Prime factorization of 49048 in exponential form is:

49048 = 23 × 61311

Now multiplying the highest exponent prime factors to calculate the LCM of 49037 and 49048.

LCM(49037,49048) = 490371 × 23 × 61311
LCM(49037,49048) = 2405166776