What is the Least Common Multiple of 48822 and 48830?

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 48830 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 48830, than apply into the LCM equation.

GCF(48822,48830) = 2
LCM(48822,48830) = ( 48822 × 48830) / 2
LCM(48822,48830) = 2383978260 / 2
LCM(48822,48830) = 1191989130

Least Common Multiple (LCM) of 48822 and 48830 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48822 and 48830. First we will calculate the prime factors of 48822 and 48830.

Prime Factorization of 48822

Prime Factorization of 48830

Now multiplying the highest exponent prime factors to calculate the LCM of 48822 and 48830.

LCM(48822,48830) = 2¹ × 3¹ × 79¹ × 103¹ × 5¹ × 19¹ × 257¹
LCM(48822,48830) = 1191989130