What is the Least Common Multiple of 70239 and 70249?

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 of 70239 and 70249 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70239 and 70249, than apply into the LCM equation.

GCF(70239,70249) = 1
LCM(70239,70249) = ( 70239 × 70249) / 1
LCM(70239,70249) = 4934219511 / 1
LCM(70239,70249) = 4934219511

Least Common Multiple (LCM) of 70239 and 70249 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70239 and 70249. First we will calculate the prime factors of 70239 and 70249.

Prime Factorization of 70239

Prime Factorization of 70249

Now multiplying the highest exponent prime factors to calculate the LCM of 70239 and 70249.

LCM(70239,70249) = 3¹ × 13¹ × 1801¹ × 70249¹
LCM(70239,70249) = 4934219511