What is the Least Common Multiple of 54578 and 54596?

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 54578 and 54596 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54578 and 54596, than apply into the LCM equation.

GCF(54578,54596) = 2
LCM(54578,54596) = ( 54578 × 54596) / 2
LCM(54578,54596) = 2979740488 / 2
LCM(54578,54596) = 1489870244

Least Common Multiple (LCM) of 54578 and 54596 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54578 and 54596. First we will calculate the prime factors of 54578 and 54596.

Prime Factorization of 54578

Prime Factorization of 54596

Now multiplying the highest exponent prime factors to calculate the LCM of 54578 and 54596.

LCM(54578,54596) = 2² × 29¹ × 941¹ × 13649¹
LCM(54578,54596) = 1489870244