What is the Least Common Multiple of 63810 and 63820?

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 63810 and 63820 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63810 and 63820, than apply into the LCM equation.

GCF(63810,63820) = 10
LCM(63810,63820) = ( 63810 × 63820) / 10
LCM(63810,63820) = 4072354200 / 10
LCM(63810,63820) = 407235420

Least Common Multiple (LCM) of 63810 and 63820 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63810 and 63820. First we will calculate the prime factors of 63810 and 63820.

Prime Factorization of 63810

Prime Factorization of 63820

Now multiplying the highest exponent prime factors to calculate the LCM of 63810 and 63820.

LCM(63810,63820) = 2² × 3² × 5¹ × 709¹ × 3191¹
LCM(63810,63820) = 407235420