What is the Least Common Multiple of 32074 and 32080?

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 32074 and 32080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32074 and 32080, than apply into the LCM equation.

GCF(32074,32080) = 2
LCM(32074,32080) = ( 32074 × 32080) / 2
LCM(32074,32080) = 1028933920 / 2
LCM(32074,32080) = 514466960

Least Common Multiple (LCM) of 32074 and 32080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32074 and 32080. First we will calculate the prime factors of 32074 and 32080.

Prime Factorization of 32074

Prime Factorization of 32080

Now multiplying the highest exponent prime factors to calculate the LCM of 32074 and 32080.

LCM(32074,32080) = 2⁴ × 7¹ × 29¹ × 79¹ × 5¹ × 401¹
LCM(32074,32080) = 514466960