What is the Least Common Multiple of 48454 and 48469?

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 48454 and 48469 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48454 and 48469, than apply into the LCM equation.

GCF(48454,48469) = 1
LCM(48454,48469) = ( 48454 × 48469) / 1
LCM(48454,48469) = 2348516926 / 1
LCM(48454,48469) = 2348516926

Least Common Multiple (LCM) of 48454 and 48469 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48454 and 48469. First we will calculate the prime factors of 48454 and 48469.

Prime Factorization of 48454

Prime Factorization of 48469

Now multiplying the highest exponent prime factors to calculate the LCM of 48454 and 48469.

LCM(48454,48469) = 2¹ × 7¹ × 3461¹ × 19¹ × 2551¹
LCM(48454,48469) = 2348516926