What is the Least Common Multiple of 63440 and 63452?

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 63440 and 63452 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63440 and 63452, than apply into the LCM equation.

GCF(63440,63452) = 4
LCM(63440,63452) = ( 63440 × 63452) / 4
LCM(63440,63452) = 4025394880 / 4
LCM(63440,63452) = 1006348720

Least Common Multiple (LCM) of 63440 and 63452 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63440 and 63452. First we will calculate the prime factors of 63440 and 63452.

Prime Factorization of 63440

Prime Factorization of 63452

Now multiplying the highest exponent prime factors to calculate the LCM of 63440 and 63452.

LCM(63440,63452) = 2⁴ × 5¹ × 13¹ × 61¹ × 29¹ × 547¹
LCM(63440,63452) = 1006348720