What is the Least Common Multiple of 53038 and 53045?

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 53045 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 53045, than apply into the LCM equation.

GCF(53038,53045) = 1
LCM(53038,53045) = ( 53038 × 53045) / 1
LCM(53038,53045) = 2813400710 / 1
LCM(53038,53045) = 2813400710

Least Common Multiple (LCM) of 53038 and 53045 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53038 and 53045. First we will calculate the prime factors of 53038 and 53045.

Prime Factorization of 53038

Prime Factorization of 53045

Now multiplying the highest exponent prime factors to calculate the LCM of 53038 and 53045.

LCM(53038,53045) = 2¹ × 23¹ × 1153¹ × 5¹ × 103²
LCM(53038,53045) = 2813400710