What is the Least Common Multiple of 70230 and 70239?

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 70230 and 70239 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70230 and 70239, than apply into the LCM equation.

GCF(70230,70239) = 3
LCM(70230,70239) = ( 70230 × 70239) / 3
LCM(70230,70239) = 4932884970 / 3
LCM(70230,70239) = 1644294990

Least Common Multiple (LCM) of 70230 and 70239 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70230 and 70239. First we will calculate the prime factors of 70230 and 70239.

Prime Factorization of 70230

Prime Factorization of 70239

Now multiplying the highest exponent prime factors to calculate the LCM of 70230 and 70239.

LCM(70230,70239) = 2¹ × 3¹ × 5¹ × 2341¹ × 13¹ × 1801¹
LCM(70230,70239) = 1644294990