What is the Least Common Multiple of 55462 and 55479?

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 55462 and 55479 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55462 and 55479, than apply into the LCM equation.

GCF(55462,55479) = 1
LCM(55462,55479) = ( 55462 × 55479) / 1
LCM(55462,55479) = 3076976298 / 1
LCM(55462,55479) = 3076976298

Least Common Multiple (LCM) of 55462 and 55479 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55462 and 55479. First we will calculate the prime factors of 55462 and 55479.

Prime Factorization of 55462

Prime Factorization of 55479

Now multiplying the highest exponent prime factors to calculate the LCM of 55462 and 55479.

LCM(55462,55479) = 2¹ × 11¹ × 2521¹ × 3¹ × 18493¹
LCM(55462,55479) = 3076976298