What is the Least Common Multiple of 89753 and 89766?

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 89753 and 89766 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89753 and 89766, than apply into the LCM equation.

GCF(89753,89766) = 1
LCM(89753,89766) = ( 89753 × 89766) / 1
LCM(89753,89766) = 8056767798 / 1
LCM(89753,89766) = 8056767798

Least Common Multiple (LCM) of 89753 and 89766 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89753 and 89766. First we will calculate the prime factors of 89753 and 89766.

Prime Factorization of 89753

Prime Factorization of 89766

Now multiplying the highest exponent prime factors to calculate the LCM of 89753 and 89766.

LCM(89753,89766) = 89753¹ × 2¹ × 3² × 4987¹
LCM(89753,89766) = 8056767798