What is the Least Common Multiple of 53780 and 53797?

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 53780 and 53797 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53780 and 53797, than apply into the LCM equation.

GCF(53780,53797) = 1
LCM(53780,53797) = ( 53780 × 53797) / 1
LCM(53780,53797) = 2893202660 / 1
LCM(53780,53797) = 2893202660

Least Common Multiple (LCM) of 53780 and 53797 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53780 and 53797. First we will calculate the prime factors of 53780 and 53797.

Prime Factorization of 53780

Prime Factorization of 53797

Now multiplying the highest exponent prime factors to calculate the LCM of 53780 and 53797.

LCM(53780,53797) = 2² × 5¹ × 2689¹ × 23¹ × 2339¹
LCM(53780,53797) = 2893202660