What is the Least Common Multiple of 48326 and 48342?

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 48326 and 48342 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48326 and 48342, than apply into the LCM equation.

GCF(48326,48342) = 2
LCM(48326,48342) = ( 48326 × 48342) / 2
LCM(48326,48342) = 2336175492 / 2
LCM(48326,48342) = 1168087746

Least Common Multiple (LCM) of 48326 and 48342 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48326 and 48342. First we will calculate the prime factors of 48326 and 48342.

Prime Factorization of 48326

Prime Factorization of 48342

Now multiplying the highest exponent prime factors to calculate the LCM of 48326 and 48342.

LCM(48326,48342) = 2¹ × 73¹ × 331¹ × 3¹ × 7¹ × 1151¹
LCM(48326,48342) = 1168087746