What is the Least Common Multiple of 90389 and 90402?

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 90389 and 90402 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90389 and 90402, than apply into the LCM equation.

GCF(90389,90402) = 13
LCM(90389,90402) = ( 90389 × 90402) / 13
LCM(90389,90402) = 8171346378 / 13
LCM(90389,90402) = 628565106

Least Common Multiple (LCM) of 90389 and 90402 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90389 and 90402. First we will calculate the prime factors of 90389 and 90402.

Prime Factorization of 90389

Prime Factorization of 90402

Now multiplying the highest exponent prime factors to calculate the LCM of 90389 and 90402.

LCM(90389,90402) = 13¹ × 17¹ × 409¹ × 2¹ × 3¹ × 19¹ × 61¹
LCM(90389,90402) = 628565106