What is the Least Common Multiple of 59394 and 59408?

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 59394 and 59408 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59394 and 59408, than apply into the LCM equation.

GCF(59394,59408) = 2
LCM(59394,59408) = ( 59394 × 59408) / 2
LCM(59394,59408) = 3528478752 / 2
LCM(59394,59408) = 1764239376

Least Common Multiple (LCM) of 59394 and 59408 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59394 and 59408. First we will calculate the prime factors of 59394 and 59408.

Prime Factorization of 59394

Prime Factorization of 59408

Now multiplying the highest exponent prime factors to calculate the LCM of 59394 and 59408.

LCM(59394,59408) = 2⁴ × 3¹ × 19¹ × 521¹ × 47¹ × 79¹
LCM(59394,59408) = 1764239376