What is the Least Common Multiple of 11322 and 11342?

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 11322 and 11342 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11322 and 11342, than apply into the LCM equation.

GCF(11322,11342) = 2
LCM(11322,11342) = ( 11322 × 11342) / 2
LCM(11322,11342) = 128414124 / 2
LCM(11322,11342) = 64207062

Least Common Multiple (LCM) of 11322 and 11342 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11322 and 11342. First we will calculate the prime factors of 11322 and 11342.

Prime Factorization of 11322

Prime Factorization of 11342

Now multiplying the highest exponent prime factors to calculate the LCM of 11322 and 11342.

LCM(11322,11342) = 2¹ × 3² × 17¹ × 37¹ × 53¹ × 107¹
LCM(11322,11342) = 64207062