What is the Least Common Multiple of 89649 and 89669?

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 89649 and 89669 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89649 and 89669, than apply into the LCM equation.

GCF(89649,89669) = 1
LCM(89649,89669) = ( 89649 × 89669) / 1
LCM(89649,89669) = 8038736181 / 1
LCM(89649,89669) = 8038736181

Least Common Multiple (LCM) of 89649 and 89669 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89649 and 89669. First we will calculate the prime factors of 89649 and 89669.

Prime Factorization of 89649

Prime Factorization of 89669

Now multiplying the highest exponent prime factors to calculate the LCM of 89649 and 89669.

LCM(89649,89669) = 3² × 7¹ × 1423¹ × 89669¹
LCM(89649,89669) = 8038736181