What is the Least Common Multiple of 59408 and 59414?

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 59408 and 59414 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59408 and 59414, than apply into the LCM equation.

GCF(59408,59414) = 2
LCM(59408,59414) = ( 59408 × 59414) / 2
LCM(59408,59414) = 3529666912 / 2
LCM(59408,59414) = 1764833456

Least Common Multiple (LCM) of 59408 and 59414 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59408 and 59414. First we will calculate the prime factors of 59408 and 59414.

Prime Factorization of 59408

Prime Factorization of 59414

Now multiplying the highest exponent prime factors to calculate the LCM of 59408 and 59414.

LCM(59408,59414) = 2⁴ × 47¹ × 79¹ × 61¹ × 487¹
LCM(59408,59414) = 1764833456