What is the Least Common Multiple of 59421 and 59438?

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 59421 and 59438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59421 and 59438, than apply into the LCM equation.

GCF(59421,59438) = 1
LCM(59421,59438) = ( 59421 × 59438) / 1
LCM(59421,59438) = 3531865398 / 1
LCM(59421,59438) = 3531865398

Least Common Multiple (LCM) of 59421 and 59438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59421 and 59438. First we will calculate the prime factors of 59421 and 59438.

Prime Factorization of 59421

Prime Factorization of 59438

Now multiplying the highest exponent prime factors to calculate the LCM of 59421 and 59438.

LCM(59421,59438) = 3¹ × 29¹ × 683¹ × 2¹ × 113¹ × 263¹
LCM(59421,59438) = 3531865398