What is the Least Common Multiple of 89435 and 89448?

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 89435 and 89448 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89435 and 89448, than apply into the LCM equation.

GCF(89435,89448) = 1
LCM(89435,89448) = ( 89435 × 89448) / 1
LCM(89435,89448) = 7999781880 / 1
LCM(89435,89448) = 7999781880

Least Common Multiple (LCM) of 89435 and 89448 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89435 and 89448. First we will calculate the prime factors of 89435 and 89448.

Prime Factorization of 89435

Prime Factorization of 89448

Now multiplying the highest exponent prime factors to calculate the LCM of 89435 and 89448.

LCM(89435,89448) = 5¹ × 31¹ × 577¹ × 2³ × 3¹ × 3727¹
LCM(89435,89448) = 7999781880