What is the Least Common Multiple of 53344 and 53354?

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 53344 and 53354 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53344 and 53354, than apply into the LCM equation.

GCF(53344,53354) = 2
LCM(53344,53354) = ( 53344 × 53354) / 2
LCM(53344,53354) = 2846115776 / 2
LCM(53344,53354) = 1423057888

Least Common Multiple (LCM) of 53344 and 53354 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53344 and 53354. First we will calculate the prime factors of 53344 and 53354.

Prime Factorization of 53344

Prime Factorization of 53354

Now multiplying the highest exponent prime factors to calculate the LCM of 53344 and 53354.

LCM(53344,53354) = 2⁵ × 1667¹ × 7¹ × 37¹ × 103¹
LCM(53344,53354) = 1423057888