What is the Least Common Multiple of 56525 and 56542?

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 56542 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 56542, than apply into the LCM equation.

GCF(56525,56542) = 17
LCM(56525,56542) = ( 56525 × 56542) / 17
LCM(56525,56542) = 3196036550 / 17
LCM(56525,56542) = 188002150

Least Common Multiple (LCM) of 56525 and 56542 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56525 and 56542. First we will calculate the prime factors of 56525 and 56542.

Prime Factorization of 56525

Prime Factorization of 56542

Now multiplying the highest exponent prime factors to calculate the LCM of 56525 and 56542.

LCM(56525,56542) = 5² × 7¹ × 17¹ × 19¹ × 2¹ × 1663¹
LCM(56525,56542) = 188002150