What is the Least Common Multiple of 56525 and 56530?

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 56525 and 56530 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56525 and 56530, than apply into the LCM equation.

GCF(56525,56530) = 5
LCM(56525,56530) = ( 56525 × 56530) / 5
LCM(56525,56530) = 3195358250 / 5
LCM(56525,56530) = 639071650

Least Common Multiple (LCM) of 56525 and 56530 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56525 and 56530. First we will calculate the prime factors of 56525 and 56530.

Prime Factorization of 56525

Prime Factorization of 56530

Now multiplying the highest exponent prime factors to calculate the LCM of 56525 and 56530.

LCM(56525,56530) = 5² × 7¹ × 17¹ × 19¹ × 2¹ × 5653¹
LCM(56525,56530) = 639071650