What is the Least Common Multiple of 82438 and 82448?

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 82438 and 82448 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82438 and 82448, than apply into the LCM equation.

GCF(82438,82448) = 2
LCM(82438,82448) = ( 82438 × 82448) / 2
LCM(82438,82448) = 6796848224 / 2
LCM(82438,82448) = 3398424112

Least Common Multiple (LCM) of 82438 and 82448 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82438 and 82448. First we will calculate the prime factors of 82438 and 82448.

Prime Factorization of 82438

Prime Factorization of 82448

Now multiplying the highest exponent prime factors to calculate the LCM of 82438 and 82448.

LCM(82438,82448) = 2⁴ × 47¹ × 877¹ × 5153¹
LCM(82438,82448) = 3398424112