What is the Least Common Multiple of 90064 and 90074?

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 90064 and 90074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90064 and 90074, than apply into the LCM equation.

GCF(90064,90074) = 2
LCM(90064,90074) = ( 90064 × 90074) / 2
LCM(90064,90074) = 8112424736 / 2
LCM(90064,90074) = 4056212368

Least Common Multiple (LCM) of 90064 and 90074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90064 and 90074. First we will calculate the prime factors of 90064 and 90074.

Prime Factorization of 90064

Prime Factorization of 90074

Now multiplying the highest exponent prime factors to calculate the LCM of 90064 and 90074.

LCM(90064,90074) = 2⁴ × 13¹ × 433¹ × 29¹ × 1553¹
LCM(90064,90074) = 4056212368