What is the Least Common Multiple of 63510 and 63530?

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 63510 and 63530 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63510 and 63530, than apply into the LCM equation.

GCF(63510,63530) = 10
LCM(63510,63530) = ( 63510 × 63530) / 10
LCM(63510,63530) = 4034790300 / 10
LCM(63510,63530) = 403479030

Least Common Multiple (LCM) of 63510 and 63530 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63510 and 63530. First we will calculate the prime factors of 63510 and 63530.

Prime Factorization of 63510

Prime Factorization of 63530

Now multiplying the highest exponent prime factors to calculate the LCM of 63510 and 63530.

LCM(63510,63530) = 2¹ × 3¹ × 5¹ × 29¹ × 73¹ × 6353¹
LCM(63510,63530) = 403479030