What is the Least Common Multiple of 63821 and 63840?

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 63821 and 63840 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63821 and 63840, than apply into the LCM equation.

GCF(63821,63840) = 19
LCM(63821,63840) = ( 63821 × 63840) / 19
LCM(63821,63840) = 4074332640 / 19
LCM(63821,63840) = 214438560

Least Common Multiple (LCM) of 63821 and 63840 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63821 and 63840. First we will calculate the prime factors of 63821 and 63840.

Prime Factorization of 63821

Prime Factorization of 63840

Now multiplying the highest exponent prime factors to calculate the LCM of 63821 and 63840.

LCM(63821,63840) = 19¹ × 3359¹ × 2⁵ × 3¹ × 5¹ × 7¹
LCM(63821,63840) = 214438560