What is the Least Common Multiple of 56487 and 56499?

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 56487 and 56499 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56487 and 56499, than apply into the LCM equation.

GCF(56487,56499) = 3
LCM(56487,56499) = ( 56487 × 56499) / 3
LCM(56487,56499) = 3191459013 / 3
LCM(56487,56499) = 1063819671

Least Common Multiple (LCM) of 56487 and 56499 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56487 and 56499. First we will calculate the prime factors of 56487 and 56499.

Prime Factorization of 56487

Prime Factorization of 56499

Now multiplying the highest exponent prime factors to calculate the LCM of 56487 and 56499.

LCM(56487,56499) = 3¹ × 19¹ × 991¹ × 37¹ × 509¹
LCM(56487,56499) = 1063819671