What is the Least Common Multiple of 89905 and 89914?

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 89905 and 89914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89905 and 89914, than apply into the LCM equation.

GCF(89905,89914) = 1
LCM(89905,89914) = ( 89905 × 89914) / 1
LCM(89905,89914) = 8083718170 / 1
LCM(89905,89914) = 8083718170

Least Common Multiple (LCM) of 89905 and 89914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89905 and 89914. First we will calculate the prime factors of 89905 and 89914.

Prime Factorization of 89905

Prime Factorization of 89914

Now multiplying the highest exponent prime factors to calculate the LCM of 89905 and 89914.

LCM(89905,89914) = 5¹ × 17981¹ × 2¹ × 11¹ × 61¹ × 67¹
LCM(89905,89914) = 8083718170