What is the Least Common Multiple of 86738 and 86753?

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 86738 and 86753 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86738 and 86753, than apply into the LCM equation.

GCF(86738,86753) = 1
LCM(86738,86753) = ( 86738 × 86753) / 1
LCM(86738,86753) = 7524781714 / 1
LCM(86738,86753) = 7524781714

Least Common Multiple (LCM) of 86738 and 86753 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86738 and 86753. First we will calculate the prime factors of 86738 and 86753.

Prime Factorization of 86738

Prime Factorization of 86753

Now multiplying the highest exponent prime factors to calculate the LCM of 86738 and 86753.

LCM(86738,86753) = 2¹ × 31¹ × 1399¹ × 86753¹
LCM(86738,86753) = 7524781714