GCF and LCM Calculator Logo

What is the Least Common Multiple of 48124 and 48129?

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 48124 and 48129 is 2316159996.

LCM(48124,48129) = 2316159996

LCM Calculator and
and

Least Common Multiple of 48124 and 48129 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48124 and 48129, than apply into the LCM equation.

GCF(48124,48129) = 1
LCM(48124,48129) = ( 48124 × 48129) / 1
LCM(48124,48129) = 2316159996 / 1
LCM(48124,48129) = 2316159996

Least Common Multiple (LCM) of 48124 and 48129 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48124 and 48129. First we will calculate the prime factors of 48124 and 48129.

Prime Factorization of 48124

Prime factors of 48124 are 2, 53, 227. Prime factorization of 48124 in exponential form is:

48124 = 22 × 531 × 2271

Prime Factorization of 48129

Prime factors of 48129 are 3, 61, 263. Prime factorization of 48129 in exponential form is:

48129 = 31 × 611 × 2631

Now multiplying the highest exponent prime factors to calculate the LCM of 48124 and 48129.

LCM(48124,48129) = 22 × 531 × 2271 × 31 × 611 × 2631
LCM(48124,48129) = 2316159996