What is the Least Common Multiple of 53628 and 53643?

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 53628 and 53643 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53628 and 53643, than apply into the LCM equation.

GCF(53628,53643) = 3
LCM(53628,53643) = ( 53628 × 53643) / 3
LCM(53628,53643) = 2876766804 / 3
LCM(53628,53643) = 958922268

Least Common Multiple (LCM) of 53628 and 53643 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53628 and 53643. First we will calculate the prime factors of 53628 and 53643.

Prime Factorization of 53628

Prime Factorization of 53643

Now multiplying the highest exponent prime factors to calculate the LCM of 53628 and 53643.

LCM(53628,53643) = 2² × 3¹ × 41¹ × 109¹ × 17881¹
LCM(53628,53643) = 958922268