What is the Least Common Multiple of 48822 and 48836?

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 48822 and 48836 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48822 and 48836, than apply into the LCM equation.

GCF(48822,48836) = 2
LCM(48822,48836) = ( 48822 × 48836) / 2
LCM(48822,48836) = 2384271192 / 2
LCM(48822,48836) = 1192135596

Least Common Multiple (LCM) of 48822 and 48836 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48822 and 48836. First we will calculate the prime factors of 48822 and 48836.

Prime Factorization of 48822

Prime Factorization of 48836

Now multiplying the highest exponent prime factors to calculate the LCM of 48822 and 48836.

LCM(48822,48836) = 2² × 3¹ × 79¹ × 103¹ × 29¹ × 421¹
LCM(48822,48836) = 1192135596