What is the Least Common Multiple of 51900 and 51914?

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 51900 and 51914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51900 and 51914, than apply into the LCM equation.

GCF(51900,51914) = 2
LCM(51900,51914) = ( 51900 × 51914) / 2
LCM(51900,51914) = 2694336600 / 2
LCM(51900,51914) = 1347168300

Least Common Multiple (LCM) of 51900 and 51914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51900 and 51914. First we will calculate the prime factors of 51900 and 51914.

Prime Factorization of 51900

Prime Factorization of 51914

Now multiplying the highest exponent prime factors to calculate the LCM of 51900 and 51914.

LCM(51900,51914) = 2² × 3¹ × 5² × 173¹ × 101¹ × 257¹
LCM(51900,51914) = 1347168300