What is the Least Common Multiple of 53900 and 53920?

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 53900 and 53920 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53900 and 53920, than apply into the LCM equation.

GCF(53900,53920) = 20
LCM(53900,53920) = ( 53900 × 53920) / 20
LCM(53900,53920) = 2906288000 / 20
LCM(53900,53920) = 145314400

Least Common Multiple (LCM) of 53900 and 53920 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53900 and 53920. First we will calculate the prime factors of 53900 and 53920.

Prime Factorization of 53900

Prime Factorization of 53920

Now multiplying the highest exponent prime factors to calculate the LCM of 53900 and 53920.

LCM(53900,53920) = 2⁵ × 5² × 7² × 11¹ × 337¹
LCM(53900,53920) = 145314400