What is the Least Common Multiple of 49860 and 49872?

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 49860 and 49872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49860 and 49872, than apply into the LCM equation.

GCF(49860,49872) = 12
LCM(49860,49872) = ( 49860 × 49872) / 12
LCM(49860,49872) = 2486617920 / 12
LCM(49860,49872) = 207218160

Least Common Multiple (LCM) of 49860 and 49872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49860 and 49872. First we will calculate the prime factors of 49860 and 49872.

Prime Factorization of 49860

Prime Factorization of 49872

Now multiplying the highest exponent prime factors to calculate the LCM of 49860 and 49872.

LCM(49860,49872) = 2⁴ × 3² × 5¹ × 277¹ × 1039¹
LCM(49860,49872) = 207218160