What is the Least Common Multiple of 53820 and 53836?

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 53820 and 53836 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53820 and 53836, than apply into the LCM equation.

GCF(53820,53836) = 4
LCM(53820,53836) = ( 53820 × 53836) / 4
LCM(53820,53836) = 2897453520 / 4
LCM(53820,53836) = 724363380

Least Common Multiple (LCM) of 53820 and 53836 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53820 and 53836. First we will calculate the prime factors of 53820 and 53836.

Prime Factorization of 53820

Prime Factorization of 53836

Now multiplying the highest exponent prime factors to calculate the LCM of 53820 and 53836.

LCM(53820,53836) = 2² × 3² × 5¹ × 13¹ × 23¹ × 43¹ × 313¹
LCM(53820,53836) = 724363380