What is the Least Common Multiple of 48450 and 48454?

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 48450 and 48454 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48450 and 48454, than apply into the LCM equation.

GCF(48450,48454) = 2
LCM(48450,48454) = ( 48450 × 48454) / 2
LCM(48450,48454) = 2347596300 / 2
LCM(48450,48454) = 1173798150

Least Common Multiple (LCM) of 48450 and 48454 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48450 and 48454. First we will calculate the prime factors of 48450 and 48454.

Prime Factorization of 48450

Prime Factorization of 48454

Now multiplying the highest exponent prime factors to calculate the LCM of 48450 and 48454.

LCM(48450,48454) = 2¹ × 3¹ × 5² × 17¹ × 19¹ × 7¹ × 3461¹
LCM(48450,48454) = 1173798150