What is the Least Common Multiple of 91322 and 91342?

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 91322 and 91342 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91322 and 91342, than apply into the LCM equation.

GCF(91322,91342) = 2
LCM(91322,91342) = ( 91322 × 91342) / 2
LCM(91322,91342) = 8341534124 / 2
LCM(91322,91342) = 4170767062

Least Common Multiple (LCM) of 91322 and 91342 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91322 and 91342. First we will calculate the prime factors of 91322 and 91342.

Prime Factorization of 91322

Prime Factorization of 91342

Now multiplying the highest exponent prime factors to calculate the LCM of 91322 and 91342.

LCM(91322,91342) = 2¹ × 7¹ × 11¹ × 593¹ × 109¹ × 419¹
LCM(91322,91342) = 4170767062