What is the Least Common Multiple of 63840 and 63852?

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 63840 and 63852 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63840 and 63852, than apply into the LCM equation.

GCF(63840,63852) = 12
LCM(63840,63852) = ( 63840 × 63852) / 12
LCM(63840,63852) = 4076311680 / 12
LCM(63840,63852) = 339692640

Least Common Multiple (LCM) of 63840 and 63852 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63840 and 63852. First we will calculate the prime factors of 63840 and 63852.

Prime Factorization of 63840

Prime Factorization of 63852

Now multiplying the highest exponent prime factors to calculate the LCM of 63840 and 63852.

LCM(63840,63852) = 2⁵ × 3¹ × 5¹ × 7¹ × 19¹ × 17¹ × 313¹
LCM(63840,63852) = 339692640