What is the Least Common Multiple of 86370 and 86386?

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 86370 and 86386 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86370 and 86386, than apply into the LCM equation.

GCF(86370,86386) = 2
LCM(86370,86386) = ( 86370 × 86386) / 2
LCM(86370,86386) = 7461158820 / 2
LCM(86370,86386) = 3730579410

Least Common Multiple (LCM) of 86370 and 86386 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86370 and 86386. First we will calculate the prime factors of 86370 and 86386.

Prime Factorization of 86370

Prime Factorization of 86386

Now multiplying the highest exponent prime factors to calculate the LCM of 86370 and 86386.

LCM(86370,86386) = 2¹ × 3¹ × 5¹ × 2879¹ × 47¹ × 919¹
LCM(86370,86386) = 3730579410