What is the Least Common Multiple of 86088 and 86105?

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 86088 and 86105 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86088 and 86105, than apply into the LCM equation.

GCF(86088,86105) = 17
LCM(86088,86105) = ( 86088 × 86105) / 17
LCM(86088,86105) = 7412607240 / 17
LCM(86088,86105) = 436035720

Least Common Multiple (LCM) of 86088 and 86105 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86088 and 86105. First we will calculate the prime factors of 86088 and 86105.

Prime Factorization of 86088

Prime Factorization of 86105

Now multiplying the highest exponent prime factors to calculate the LCM of 86088 and 86105.

LCM(86088,86105) = 2³ × 3¹ × 17¹ × 211¹ × 5¹ × 1013¹
LCM(86088,86105) = 436035720