What is the Least Common Multiple of 89395 and 89410?

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 89395 and 89410 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89395 and 89410, than apply into the LCM equation.

GCF(89395,89410) = 5
LCM(89395,89410) = ( 89395 × 89410) / 5
LCM(89395,89410) = 7992806950 / 5
LCM(89395,89410) = 1598561390

Least Common Multiple (LCM) of 89395 and 89410 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89395 and 89410. First we will calculate the prime factors of 89395 and 89410.

Prime Factorization of 89395

Prime Factorization of 89410

Now multiplying the highest exponent prime factors to calculate the LCM of 89395 and 89410.

LCM(89395,89410) = 5¹ × 19¹ × 941¹ × 2¹ × 8941¹
LCM(89395,89410) = 1598561390