What is the Least Common Multiple of 73905 and 73914?

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 73905 and 73914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73905 and 73914, than apply into the LCM equation.

GCF(73905,73914) = 3
LCM(73905,73914) = ( 73905 × 73914) / 3
LCM(73905,73914) = 5462614170 / 3
LCM(73905,73914) = 1820871390

Least Common Multiple (LCM) of 73905 and 73914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73905 and 73914. First we will calculate the prime factors of 73905 and 73914.

Prime Factorization of 73905

Prime Factorization of 73914

Now multiplying the highest exponent prime factors to calculate the LCM of 73905 and 73914.

LCM(73905,73914) = 3¹ × 5¹ × 13¹ × 379¹ × 2¹ × 97¹ × 127¹
LCM(73905,73914) = 1820871390