What is the Least Common Multiple of 54569 and 54580?

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 54569 and 54580 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54569 and 54580, than apply into the LCM equation.

GCF(54569,54580) = 1
LCM(54569,54580) = ( 54569 × 54580) / 1
LCM(54569,54580) = 2978376020 / 1
LCM(54569,54580) = 2978376020

Least Common Multiple (LCM) of 54569 and 54580 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54569 and 54580. First we will calculate the prime factors of 54569 and 54580.

Prime Factorization of 54569

Prime Factorization of 54580

Now multiplying the highest exponent prime factors to calculate the LCM of 54569 and 54580.

LCM(54569,54580) = 197¹ × 277¹ × 2² × 5¹ × 2729¹
LCM(54569,54580) = 2978376020