What is the Least Common Multiple of 89565 and 89570?

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 89565 and 89570 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89565 and 89570, than apply into the LCM equation.

GCF(89565,89570) = 5
LCM(89565,89570) = ( 89565 × 89570) / 5
LCM(89565,89570) = 8022337050 / 5
LCM(89565,89570) = 1604467410

Least Common Multiple (LCM) of 89565 and 89570 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89565 and 89570. First we will calculate the prime factors of 89565 and 89570.

Prime Factorization of 89565

Prime Factorization of 89570

Now multiplying the highest exponent prime factors to calculate the LCM of 89565 and 89570.

LCM(89565,89570) = 3¹ × 5¹ × 7¹ × 853¹ × 2¹ × 13² × 53¹
LCM(89565,89570) = 1604467410