What is the Least Common Multiple of 75451 and 75464?

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 75451 and 75464 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75451 and 75464, than apply into the LCM equation.

GCF(75451,75464) = 1
LCM(75451,75464) = ( 75451 × 75464) / 1
LCM(75451,75464) = 5693834264 / 1
LCM(75451,75464) = 5693834264

Least Common Multiple (LCM) of 75451 and 75464 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75451 and 75464. First we will calculate the prime factors of 75451 and 75464.

Prime Factorization of 75451

Prime Factorization of 75464

Now multiplying the highest exponent prime factors to calculate the LCM of 75451 and 75464.

LCM(75451,75464) = 197¹ × 383¹ × 2³ × 9433¹
LCM(75451,75464) = 5693834264