What is the Least Common Multiple of 89590 and 89602?

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 89590 and 89602 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89590 and 89602, than apply into the LCM equation.

GCF(89590,89602) = 2
LCM(89590,89602) = ( 89590 × 89602) / 2
LCM(89590,89602) = 8027443180 / 2
LCM(89590,89602) = 4013721590

Least Common Multiple (LCM) of 89590 and 89602 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89590 and 89602. First we will calculate the prime factors of 89590 and 89602.

Prime Factorization of 89590

Prime Factorization of 89602

Now multiplying the highest exponent prime factors to calculate the LCM of 89590 and 89602.

LCM(89590,89602) = 2¹ × 5¹ × 17² × 31¹ × 71¹ × 631¹
LCM(89590,89602) = 4013721590