What is the Least Common Multiple of 86845 and 86864?

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 86845 and 86864 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86845 and 86864, than apply into the LCM equation.

GCF(86845,86864) = 1
LCM(86845,86864) = ( 86845 × 86864) / 1
LCM(86845,86864) = 7543704080 / 1
LCM(86845,86864) = 7543704080

Least Common Multiple (LCM) of 86845 and 86864 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86845 and 86864. First we will calculate the prime factors of 86845 and 86864.

Prime Factorization of 86845

Prime Factorization of 86864

Now multiplying the highest exponent prime factors to calculate the LCM of 86845 and 86864.

LCM(86845,86864) = 5¹ × 11¹ × 1579¹ × 2⁴ × 61¹ × 89¹
LCM(86845,86864) = 7543704080