What is the Least Common Multiple of 70262 and 70281?

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 70262 and 70281 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70262 and 70281, than apply into the LCM equation.

GCF(70262,70281) = 19
LCM(70262,70281) = ( 70262 × 70281) / 19
LCM(70262,70281) = 4938083622 / 19
LCM(70262,70281) = 259899138

Least Common Multiple (LCM) of 70262 and 70281 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70262 and 70281. First we will calculate the prime factors of 70262 and 70281.

Prime Factorization of 70262

Prime Factorization of 70281

Now multiplying the highest exponent prime factors to calculate the LCM of 70262 and 70281.

LCM(70262,70281) = 2¹ × 19¹ × 43² × 3³ × 137¹
LCM(70262,70281) = 259899138