What is the Least Common Multiple of 4900 and 4914?

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 4900 and 4914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4900 and 4914, than apply into the LCM equation.

GCF(4900,4914) = 14
LCM(4900,4914) = ( 4900 × 4914) / 14
LCM(4900,4914) = 24078600 / 14
LCM(4900,4914) = 1719900

Least Common Multiple (LCM) of 4900 and 4914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4900 and 4914. First we will calculate the prime factors of 4900 and 4914.

Prime Factorization of 4900

Prime Factorization of 4914

Now multiplying the highest exponent prime factors to calculate the LCM of 4900 and 4914.

LCM(4900,4914) = 2² × 5² × 7² × 3³ × 13¹
LCM(4900,4914) = 1719900