GCF and LCM Calculator Logo

What is the Least Common Multiple of 49059 and 49072?

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 49059 and 49072 is 2407423248.

LCM(49059,49072) = 2407423248

LCM Calculator and
and

Least Common Multiple of 49059 and 49072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49059 and 49072, than apply into the LCM equation.

GCF(49059,49072) = 1
LCM(49059,49072) = ( 49059 × 49072) / 1
LCM(49059,49072) = 2407423248 / 1
LCM(49059,49072) = 2407423248

Least Common Multiple (LCM) of 49059 and 49072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49059 and 49072. First we will calculate the prime factors of 49059 and 49072.

Prime Factorization of 49059

Prime factors of 49059 are 3, 23, 79. Prime factorization of 49059 in exponential form is:

49059 = 33 × 231 × 791

Prime Factorization of 49072

Prime factors of 49072 are 2, 3067. Prime factorization of 49072 in exponential form is:

49072 = 24 × 30671

Now multiplying the highest exponent prime factors to calculate the LCM of 49059 and 49072.

LCM(49059,49072) = 33 × 231 × 791 × 24 × 30671
LCM(49059,49072) = 2407423248