What is the Least Common Multiple of 56492 and 56503?

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 56492 and 56503 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56492 and 56503, than apply into the LCM equation.

GCF(56492,56503) = 1
LCM(56492,56503) = ( 56492 × 56503) / 1
LCM(56492,56503) = 3191967476 / 1
LCM(56492,56503) = 3191967476

Least Common Multiple (LCM) of 56492 and 56503 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56492 and 56503. First we will calculate the prime factors of 56492 and 56503.

Prime Factorization of 56492

Prime Factorization of 56503

Now multiplying the highest exponent prime factors to calculate the LCM of 56492 and 56503.

LCM(56492,56503) = 2² × 29¹ × 487¹ × 56503¹
LCM(56492,56503) = 3191967476