What is the Least Common Multiple of 86464 and 86475?

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 86464 and 86475 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86464 and 86475, than apply into the LCM equation.

GCF(86464,86475) = 1
LCM(86464,86475) = ( 86464 × 86475) / 1
LCM(86464,86475) = 7476974400 / 1
LCM(86464,86475) = 7476974400

Least Common Multiple (LCM) of 86464 and 86475 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86464 and 86475. First we will calculate the prime factors of 86464 and 86475.

Prime Factorization of 86464

Prime Factorization of 86475

Now multiplying the highest exponent prime factors to calculate the LCM of 86464 and 86475.

LCM(86464,86475) = 2⁶ × 7¹ × 193¹ × 3¹ × 5² × 1153¹
LCM(86464,86475) = 7476974400