What is the Least Common Multiple of 49782 and 49796?

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 49782 and 49796 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49782 and 49796, than apply into the LCM equation.

GCF(49782,49796) = 2
LCM(49782,49796) = ( 49782 × 49796) / 2
LCM(49782,49796) = 2478944472 / 2
LCM(49782,49796) = 1239472236

Least Common Multiple (LCM) of 49782 and 49796 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49782 and 49796. First we will calculate the prime factors of 49782 and 49796.

Prime Factorization of 49782

Prime Factorization of 49796

Now multiplying the highest exponent prime factors to calculate the LCM of 49782 and 49796.

LCM(49782,49796) = 2² × 3¹ × 8297¹ × 59¹ × 211¹
LCM(49782,49796) = 1239472236