What is the Least Common Multiple of 53038 and 53051?

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 53051 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 53051, than apply into the LCM equation.

GCF(53038,53051) = 1
LCM(53038,53051) = ( 53038 × 53051) / 1
LCM(53038,53051) = 2813718938 / 1
LCM(53038,53051) = 2813718938

Least Common Multiple (LCM) of 53038 and 53051 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53038 and 53051. First we will calculate the prime factors of 53038 and 53051.

Prime Factorization of 53038

Prime Factorization of 53051

Now multiplying the highest exponent prime factors to calculate the LCM of 53038 and 53051.

LCM(53038,53051) = 2¹ × 23¹ × 1153¹ × 53051¹
LCM(53038,53051) = 2813718938