What is the Least Common Multiple of 56523 and 56535?

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 56523 and 56535 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56523 and 56535, than apply into the LCM equation.

GCF(56523,56535) = 3
LCM(56523,56535) = ( 56523 × 56535) / 3
LCM(56523,56535) = 3195527805 / 3
LCM(56523,56535) = 1065175935

Least Common Multiple (LCM) of 56523 and 56535 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56523 and 56535. First we will calculate the prime factors of 56523 and 56535.

Prime Factorization of 56523

Prime Factorization of 56535

Now multiplying the highest exponent prime factors to calculate the LCM of 56523 and 56535.

LCM(56523,56535) = 3¹ × 83¹ × 227¹ × 5¹ × 3769¹
LCM(56523,56535) = 1065175935