What is the Least Common Multiple of 89250 and 89258?

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 89250 and 89258 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89250 and 89258, than apply into the LCM equation.

GCF(89250,89258) = 2
LCM(89250,89258) = ( 89250 × 89258) / 2
LCM(89250,89258) = 7966276500 / 2
LCM(89250,89258) = 3983138250

Least Common Multiple (LCM) of 89250 and 89258 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89250 and 89258. First we will calculate the prime factors of 89250 and 89258.

Prime Factorization of 89250

Prime Factorization of 89258

Now multiplying the highest exponent prime factors to calculate the LCM of 89250 and 89258.

LCM(89250,89258) = 2¹ × 3¹ × 5³ × 7¹ × 17¹ × 13¹ × 3433¹
LCM(89250,89258) = 3983138250