What is the Least Common Multiple of 70259 and 70263?

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 70259 and 70263 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70259 and 70263, than apply into the LCM equation.

GCF(70259,70263) = 1
LCM(70259,70263) = ( 70259 × 70263) / 1
LCM(70259,70263) = 4936608117 / 1
LCM(70259,70263) = 4936608117

Least Common Multiple (LCM) of 70259 and 70263 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70259 and 70263. First we will calculate the prime factors of 70259 and 70263.

Prime Factorization of 70259

Prime Factorization of 70263

Now multiplying the highest exponent prime factors to calculate the LCM of 70259 and 70263.

LCM(70259,70263) = 7¹ × 10037¹ × 3² × 37¹ × 211¹
LCM(70259,70263) = 4936608117