What is the Least Common Multiple of 63525 and 63540?

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 63525 and 63540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63525 and 63540, than apply into the LCM equation.

GCF(63525,63540) = 15
LCM(63525,63540) = ( 63525 × 63540) / 15
LCM(63525,63540) = 4036378500 / 15
LCM(63525,63540) = 269091900

Least Common Multiple (LCM) of 63525 and 63540 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63525 and 63540. First we will calculate the prime factors of 63525 and 63540.

Prime Factorization of 63525

Prime Factorization of 63540

Now multiplying the highest exponent prime factors to calculate the LCM of 63525 and 63540.

LCM(63525,63540) = 3² × 5² × 7¹ × 11² × 2² × 353¹
LCM(63525,63540) = 269091900