What is the Least Common Multiple of 49431 and 49442?

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 49431 and 49442 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49431 and 49442, than apply into the LCM equation.

GCF(49431,49442) = 1
LCM(49431,49442) = ( 49431 × 49442) / 1
LCM(49431,49442) = 2443967502 / 1
LCM(49431,49442) = 2443967502

Least Common Multiple (LCM) of 49431 and 49442 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49431 and 49442. First we will calculate the prime factors of 49431 and 49442.

Prime Factorization of 49431

Prime Factorization of 49442

Now multiplying the highest exponent prime factors to calculate the LCM of 49431 and 49442.

LCM(49431,49442) = 3¹ × 16477¹ × 2¹ × 59¹ × 419¹
LCM(49431,49442) = 2443967502