What is the Least Common Multiple of 48415 and 48430?

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 48415 and 48430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48415 and 48430, than apply into the LCM equation.

GCF(48415,48430) = 5
LCM(48415,48430) = ( 48415 × 48430) / 5
LCM(48415,48430) = 2344738450 / 5
LCM(48415,48430) = 468947690

Least Common Multiple (LCM) of 48415 and 48430 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48415 and 48430. First we will calculate the prime factors of 48415 and 48430.

Prime Factorization of 48415

Prime Factorization of 48430

Now multiplying the highest exponent prime factors to calculate the LCM of 48415 and 48430.

LCM(48415,48430) = 5¹ × 23¹ × 421¹ × 2¹ × 29¹ × 167¹
LCM(48415,48430) = 468947690