What is the Least Common Multiple of 89549 and 89565?

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 89549 and 89565 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89549 and 89565, than apply into the LCM equation.

GCF(89549,89565) = 1
LCM(89549,89565) = ( 89549 × 89565) / 1
LCM(89549,89565) = 8020456185 / 1
LCM(89549,89565) = 8020456185

Least Common Multiple (LCM) of 89549 and 89565 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89549 and 89565. First we will calculate the prime factors of 89549 and 89565.

Prime Factorization of 89549

Prime Factorization of 89565

Now multiplying the highest exponent prime factors to calculate the LCM of 89549 and 89565.

LCM(89549,89565) = 149¹ × 601¹ × 3¹ × 5¹ × 7¹ × 853¹
LCM(89549,89565) = 8020456185