What is the Least Common Multiple of 89434 and 89453?

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 89434 and 89453 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89434 and 89453, than apply into the LCM equation.

GCF(89434,89453) = 1
LCM(89434,89453) = ( 89434 × 89453) / 1
LCM(89434,89453) = 8000139602 / 1
LCM(89434,89453) = 8000139602

Least Common Multiple (LCM) of 89434 and 89453 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89434 and 89453. First we will calculate the prime factors of 89434 and 89453.

Prime Factorization of 89434

Prime Factorization of 89453

Now multiplying the highest exponent prime factors to calculate the LCM of 89434 and 89453.

LCM(89434,89453) = 2¹ × 97¹ × 461¹ × 7¹ × 13¹ × 983¹
LCM(89434,89453) = 8000139602