What is the Least Common Multiple of 89258 and 89263?

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 89258 and 89263 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89258 and 89263, than apply into the LCM equation.

GCF(89258,89263) = 1
LCM(89258,89263) = ( 89258 × 89263) / 1
LCM(89258,89263) = 7967436854 / 1
LCM(89258,89263) = 7967436854

Least Common Multiple (LCM) of 89258 and 89263 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89258 and 89263. First we will calculate the prime factors of 89258 and 89263.

Prime Factorization of 89258

Prime Factorization of 89263

Now multiplying the highest exponent prime factors to calculate the LCM of 89258 and 89263.

LCM(89258,89263) = 2¹ × 13¹ × 3433¹ × 23¹ × 3881¹
LCM(89258,89263) = 7967436854