What is the Least Common Multiple of 90051 and 90064?

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 90051 and 90064 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90051 and 90064, than apply into the LCM equation.

GCF(90051,90064) = 13
LCM(90051,90064) = ( 90051 × 90064) / 13
LCM(90051,90064) = 8110353264 / 13
LCM(90051,90064) = 623873328

Least Common Multiple (LCM) of 90051 and 90064 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90051 and 90064. First we will calculate the prime factors of 90051 and 90064.

Prime Factorization of 90051

Prime Factorization of 90064

Now multiplying the highest exponent prime factors to calculate the LCM of 90051 and 90064.

LCM(90051,90064) = 3¹ × 13¹ × 2309¹ × 2⁴ × 433¹
LCM(90051,90064) = 623873328