GCF and LCM Calculator Logo

What is the Least Common Multiple of 70249 and 70253?

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 70249 and 70253 is 4935202997.

LCM(70249,70253) = 4935202997

LCM Calculator and
and

Least Common Multiple of 70249 and 70253 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70249 and 70253, than apply into the LCM equation.

GCF(70249,70253) = 1
LCM(70249,70253) = ( 70249 × 70253) / 1
LCM(70249,70253) = 4935202997 / 1
LCM(70249,70253) = 4935202997

Least Common Multiple (LCM) of 70249 and 70253 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70249 and 70253. First we will calculate the prime factors of 70249 and 70253.

Prime Factorization of 70249

Prime factors of 70249 are 70249. Prime factorization of 70249 in exponential form is:

70249 = 702491

Prime Factorization of 70253

Prime factors of 70253 are 163, 431. Prime factorization of 70253 in exponential form is:

70253 = 1631 × 4311

Now multiplying the highest exponent prime factors to calculate the LCM of 70249 and 70253.

LCM(70249,70253) = 702491 × 1631 × 4311
LCM(70249,70253) = 4935202997