What is the Least Common Multiple of 72905 and 72914?

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 72905 and 72914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72905 and 72914, than apply into the LCM equation.

GCF(72905,72914) = 1
LCM(72905,72914) = ( 72905 × 72914) / 1
LCM(72905,72914) = 5315795170 / 1
LCM(72905,72914) = 5315795170

Least Common Multiple (LCM) of 72905 and 72914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72905 and 72914. First we will calculate the prime factors of 72905 and 72914.

Prime Factorization of 72905

Prime Factorization of 72914

Now multiplying the highest exponent prime factors to calculate the LCM of 72905 and 72914.

LCM(72905,72914) = 5¹ × 7¹ × 2083¹ × 2¹ × 36457¹
LCM(72905,72914) = 5315795170