What is the Least Common Multiple of 89279 and 89283?

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 89279 and 89283 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89279 and 89283, than apply into the LCM equation.

GCF(89279,89283) = 1
LCM(89279,89283) = ( 89279 × 89283) / 1
LCM(89279,89283) = 7971096957 / 1
LCM(89279,89283) = 7971096957

Least Common Multiple (LCM) of 89279 and 89283 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89279 and 89283. First we will calculate the prime factors of 89279 and 89283.

Prime Factorization of 89279

Prime Factorization of 89283

Now multiplying the highest exponent prime factors to calculate the LCM of 89279 and 89283.

LCM(89279,89283) = 73¹ × 1223¹ × 3¹ × 29761¹
LCM(89279,89283) = 7971096957