What is the Least Common Multiple of 89322 and 89342?

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 89322 and 89342 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89322 and 89342, than apply into the LCM equation.

GCF(89322,89342) = 2
LCM(89322,89342) = ( 89322 × 89342) / 2
LCM(89322,89342) = 7980206124 / 2
LCM(89322,89342) = 3990103062

Least Common Multiple (LCM) of 89322 and 89342 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89322 and 89342. First we will calculate the prime factors of 89322 and 89342.

Prime Factorization of 89322

Prime Factorization of 89342

Now multiplying the highest exponent prime factors to calculate the LCM of 89322 and 89342.

LCM(89322,89342) = 2¹ × 3¹ × 14887¹ × 11¹ × 31¹ × 131¹
LCM(89322,89342) = 3990103062