GCF and LCM Calculator Logo

What is the Least Common Multiple of 83048 and 83053?

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 83048 and 83053 is 6897385544.

LCM(83048,83053) = 6897385544

LCM Calculator and
and

Least Common Multiple of 83048 and 83053 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83048 and 83053, than apply into the LCM equation.

GCF(83048,83053) = 1
LCM(83048,83053) = ( 83048 × 83053) / 1
LCM(83048,83053) = 6897385544 / 1
LCM(83048,83053) = 6897385544

Least Common Multiple (LCM) of 83048 and 83053 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83048 and 83053. First we will calculate the prime factors of 83048 and 83053.

Prime Factorization of 83048

Prime factors of 83048 are 2, 7, 1483. Prime factorization of 83048 in exponential form is:

83048 = 23 × 71 × 14831

Prime Factorization of 83053

Prime factors of 83053 are 23, 157. Prime factorization of 83053 in exponential form is:

83053 = 232 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 83048 and 83053.

LCM(83048,83053) = 23 × 71 × 14831 × 232 × 1571
LCM(83048,83053) = 6897385544