What is the Least Common Multiple of 64080 and 64090?

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 64080 and 64090 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64080 and 64090, than apply into the LCM equation.

GCF(64080,64090) = 10
LCM(64080,64090) = ( 64080 × 64090) / 10
LCM(64080,64090) = 4106887200 / 10
LCM(64080,64090) = 410688720

Least Common Multiple (LCM) of 64080 and 64090 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64080 and 64090. First we will calculate the prime factors of 64080 and 64090.

Prime Factorization of 64080

Prime Factorization of 64090

Now multiplying the highest exponent prime factors to calculate the LCM of 64080 and 64090.

LCM(64080,64090) = 2⁴ × 3² × 5¹ × 89¹ × 13¹ × 17¹ × 29¹
LCM(64080,64090) = 410688720