What is the Least Common Multiple of 53038 and 53058?

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 53038 and 53058 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53038 and 53058, than apply into the LCM equation.

GCF(53038,53058) = 2
LCM(53038,53058) = ( 53038 × 53058) / 2
LCM(53038,53058) = 2814090204 / 2
LCM(53038,53058) = 1407045102

Least Common Multiple (LCM) of 53038 and 53058 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53038 and 53058. First we will calculate the prime factors of 53038 and 53058.

Prime Factorization of 53038

Prime Factorization of 53058

Now multiplying the highest exponent prime factors to calculate the LCM of 53038 and 53058.

LCM(53038,53058) = 2¹ × 23¹ × 1153¹ × 3¹ × 37¹ × 239¹
LCM(53038,53058) = 1407045102