What is the Least Common Multiple of 53408 and 53414?

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 53408 and 53414 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53408 and 53414, than apply into the LCM equation.

GCF(53408,53414) = 2
LCM(53408,53414) = ( 53408 × 53414) / 2
LCM(53408,53414) = 2852734912 / 2
LCM(53408,53414) = 1426367456

Least Common Multiple (LCM) of 53408 and 53414 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53408 and 53414. First we will calculate the prime factors of 53408 and 53414.

Prime Factorization of 53408

Prime Factorization of 53414

Now multiplying the highest exponent prime factors to calculate the LCM of 53408 and 53414.

LCM(53408,53414) = 2⁵ × 1669¹ × 17¹ × 1571¹
LCM(53408,53414) = 1426367456