What is the Least Common Multiple of 55461 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 55461 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 55461 and 55479, than apply into the LCM equation.

GCF(55461,55479) = 3
LCM(55461,55479) = ( 55461 × 55479) / 3
LCM(55461,55479) = 3076920819 / 3
LCM(55461,55479) = 1025640273

Least Common Multiple (LCM) of 55461 and 55479 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55461 and 55479. First we will calculate the prime factors of 55461 and 55479.

Prime Factorization of 55461

Prime Factorization of 55479

Now multiplying the highest exponent prime factors to calculate the LCM of 55461 and 55479.

LCM(55461,55479) = 3¹ × 7¹ × 19¹ × 139¹ × 18493¹
LCM(55461,55479) = 1025640273