What is the Least Common Multiple of 89814 and 89827?

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 89814 and 89827 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89814 and 89827, than apply into the LCM equation.

GCF(89814,89827) = 1
LCM(89814,89827) = ( 89814 × 89827) / 1
LCM(89814,89827) = 8067722178 / 1
LCM(89814,89827) = 8067722178

Least Common Multiple (LCM) of 89814 and 89827 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89814 and 89827. First we will calculate the prime factors of 89814 and 89827.

Prime Factorization of 89814

Prime Factorization of 89827

Now multiplying the highest exponent prime factors to calculate the LCM of 89814 and 89827.

LCM(89814,89827) = 2¹ × 3¹ × 14969¹ × 43¹ × 2089¹
LCM(89814,89827) = 8067722178