What is the Least Common Multiple of 86753 and 86758?

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 86753 and 86758 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86753 and 86758, than apply into the LCM equation.

GCF(86753,86758) = 1
LCM(86753,86758) = ( 86753 × 86758) / 1
LCM(86753,86758) = 7526516774 / 1
LCM(86753,86758) = 7526516774

Least Common Multiple (LCM) of 86753 and 86758 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86753 and 86758. First we will calculate the prime factors of 86753 and 86758.

Prime Factorization of 86753

Prime Factorization of 86758

Now multiplying the highest exponent prime factors to calculate the LCM of 86753 and 86758.

LCM(86753,86758) = 86753¹ × 2¹ × 7¹ × 6197¹
LCM(86753,86758) = 7526516774