What is the Least Common Multiple of 55408 and 55414?

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 55408 and 55414 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55408 and 55414, than apply into the LCM equation.

GCF(55408,55414) = 2
LCM(55408,55414) = ( 55408 × 55414) / 2
LCM(55408,55414) = 3070378912 / 2
LCM(55408,55414) = 1535189456

Least Common Multiple (LCM) of 55408 and 55414 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55408 and 55414. First we will calculate the prime factors of 55408 and 55414.

Prime Factorization of 55408

Prime Factorization of 55414

Now multiplying the highest exponent prime factors to calculate the LCM of 55408 and 55414.

LCM(55408,55414) = 2⁴ × 3463¹ × 103¹ × 269¹
LCM(55408,55414) = 1535189456