What is the Least Common Multiple of 86105 and 86124?

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 86105 and 86124 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86105 and 86124, than apply into the LCM equation.

GCF(86105,86124) = 1
LCM(86105,86124) = ( 86105 × 86124) / 1
LCM(86105,86124) = 7415707020 / 1
LCM(86105,86124) = 7415707020

Least Common Multiple (LCM) of 86105 and 86124 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86105 and 86124. First we will calculate the prime factors of 86105 and 86124.

Prime Factorization of 86105

Prime Factorization of 86124

Now multiplying the highest exponent prime factors to calculate the LCM of 86105 and 86124.

LCM(86105,86124) = 5¹ × 17¹ × 1013¹ × 2² × 3¹ × 7177¹
LCM(86105,86124) = 7415707020