What is the Least Common Multiple of 42525 and 42540?

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 42525 and 42540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42525 and 42540, than apply into the LCM equation.

GCF(42525,42540) = 15
LCM(42525,42540) = ( 42525 × 42540) / 15
LCM(42525,42540) = 1809013500 / 15
LCM(42525,42540) = 120600900

Least Common Multiple (LCM) of 42525 and 42540 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42525 and 42540. First we will calculate the prime factors of 42525 and 42540.

Prime Factorization of 42525

Prime Factorization of 42540

Now multiplying the highest exponent prime factors to calculate the LCM of 42525 and 42540.

LCM(42525,42540) = 3⁵ × 5² × 7¹ × 2² × 709¹
LCM(42525,42540) = 120600900