What is the Least Common Multiple of 55814 and 55820?

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 55814 and 55820 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55814 and 55820, than apply into the LCM equation.

GCF(55814,55820) = 2
LCM(55814,55820) = ( 55814 × 55820) / 2
LCM(55814,55820) = 3115537480 / 2
LCM(55814,55820) = 1557768740

Least Common Multiple (LCM) of 55814 and 55820 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55814 and 55820. First we will calculate the prime factors of 55814 and 55820.

Prime Factorization of 55814

Prime Factorization of 55820

Now multiplying the highest exponent prime factors to calculate the LCM of 55814 and 55820.

LCM(55814,55820) = 2² × 11¹ × 43¹ × 59¹ × 5¹ × 2791¹
LCM(55814,55820) = 1557768740