What is the Least Common Multiple of 53900 and 53914?

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 53914 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 53914, than apply into the LCM equation.

GCF(53900,53914) = 14
LCM(53900,53914) = ( 53900 × 53914) / 14
LCM(53900,53914) = 2905964600 / 14
LCM(53900,53914) = 207568900

Least Common Multiple (LCM) of 53900 and 53914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53900 and 53914. First we will calculate the prime factors of 53900 and 53914.

Prime Factorization of 53900

Prime Factorization of 53914

Now multiplying the highest exponent prime factors to calculate the LCM of 53900 and 53914.

LCM(53900,53914) = 2² × 5² × 7² × 11¹ × 3851¹
LCM(53900,53914) = 207568900