What is the Least Common Multiple of 86430 and 86450?

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 86430 and 86450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86430 and 86450, than apply into the LCM equation.

GCF(86430,86450) = 10
LCM(86430,86450) = ( 86430 × 86450) / 10
LCM(86430,86450) = 7471873500 / 10
LCM(86430,86450) = 747187350

Least Common Multiple (LCM) of 86430 and 86450 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86430 and 86450. First we will calculate the prime factors of 86430 and 86450.

Prime Factorization of 86430

Prime Factorization of 86450

Now multiplying the highest exponent prime factors to calculate the LCM of 86430 and 86450.

LCM(86430,86450) = 2¹ × 3¹ × 5² × 43¹ × 67¹ × 7¹ × 13¹ × 19¹
LCM(86430,86450) = 747187350