What is the Least Common Multiple of 48814 and 48822?

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 48814 and 48822 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48814 and 48822, than apply into the LCM equation.

GCF(48814,48822) = 2
LCM(48814,48822) = ( 48814 × 48822) / 2
LCM(48814,48822) = 2383197108 / 2
LCM(48814,48822) = 1191598554

Least Common Multiple (LCM) of 48814 and 48822 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48814 and 48822. First we will calculate the prime factors of 48814 and 48822.

Prime Factorization of 48814

Prime Factorization of 48822

Now multiplying the highest exponent prime factors to calculate the LCM of 48814 and 48822.

LCM(48814,48822) = 2¹ × 24407¹ × 3¹ × 79¹ × 103¹
LCM(48814,48822) = 1191598554