What is the Least Common Multiple of 86574 and 86590?

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 86574 and 86590 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86574 and 86590, than apply into the LCM equation.

GCF(86574,86590) = 2
LCM(86574,86590) = ( 86574 × 86590) / 2
LCM(86574,86590) = 7496442660 / 2
LCM(86574,86590) = 3748221330

Least Common Multiple (LCM) of 86574 and 86590 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86574 and 86590. First we will calculate the prime factors of 86574 and 86590.

Prime Factorization of 86574

Prime Factorization of 86590

Now multiplying the highest exponent prime factors to calculate the LCM of 86574 and 86590.

LCM(86574,86590) = 2¹ × 3¹ × 47¹ × 307¹ × 5¹ × 7¹ × 1237¹
LCM(86574,86590) = 3748221330