What is the Least Common Multiple of 49714 and 49732?

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 49714 and 49732 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49714 and 49732, than apply into the LCM equation.

GCF(49714,49732) = 2
LCM(49714,49732) = ( 49714 × 49732) / 2
LCM(49714,49732) = 2472376648 / 2
LCM(49714,49732) = 1236188324

Least Common Multiple (LCM) of 49714 and 49732 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49714 and 49732. First we will calculate the prime factors of 49714 and 49732.

Prime Factorization of 49714

Prime Factorization of 49732

Now multiplying the highest exponent prime factors to calculate the LCM of 49714 and 49732.

LCM(49714,49732) = 2² × 7¹ × 53¹ × 67¹ × 12433¹
LCM(49714,49732) = 1236188324