What is the Least Common Multiple of 53648 and 53654?

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 53648 and 53654 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53648 and 53654, than apply into the LCM equation.

GCF(53648,53654) = 2
LCM(53648,53654) = ( 53648 × 53654) / 2
LCM(53648,53654) = 2878429792 / 2
LCM(53648,53654) = 1439214896

Least Common Multiple (LCM) of 53648 and 53654 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53648 and 53654. First we will calculate the prime factors of 53648 and 53654.

Prime Factorization of 53648

Prime Factorization of 53654

Now multiplying the highest exponent prime factors to calculate the LCM of 53648 and 53654.

LCM(53648,53654) = 2⁴ × 7¹ × 479¹ × 139¹ × 193¹
LCM(53648,53654) = 1439214896