What is the Least Common Multiple of 86657 and 86671?

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 86657 and 86671 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86657 and 86671, than apply into the LCM equation.

GCF(86657,86671) = 1
LCM(86657,86671) = ( 86657 × 86671) / 1
LCM(86657,86671) = 7510648847 / 1
LCM(86657,86671) = 7510648847

Least Common Multiple (LCM) of 86657 and 86671 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86657 and 86671. First we will calculate the prime factors of 86657 and 86671.

Prime Factorization of 86657

Prime Factorization of 86671

Now multiplying the highest exponent prime factors to calculate the LCM of 86657 and 86671.

LCM(86657,86671) = 193¹ × 449¹ × 13¹ × 59¹ × 113¹
LCM(86657,86671) = 7510648847