What is the Least Common Multiple of 90451 and 90465?

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 90451 and 90465 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90451 and 90465, than apply into the LCM equation.

GCF(90451,90465) = 1
LCM(90451,90465) = ( 90451 × 90465) / 1
LCM(90451,90465) = 8182649715 / 1
LCM(90451,90465) = 8182649715

Least Common Multiple (LCM) of 90451 and 90465 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90451 and 90465. First we will calculate the prime factors of 90451 and 90465.

Prime Factorization of 90451

Prime Factorization of 90465

Now multiplying the highest exponent prime factors to calculate the LCM of 90451 and 90465.

LCM(90451,90465) = 29¹ × 3119¹ × 3¹ × 5¹ × 37¹ × 163¹
LCM(90451,90465) = 8182649715