What is the Least Common Multiple of 75407 and 75414?

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 75407 and 75414 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75407 and 75414, than apply into the LCM equation.

GCF(75407,75414) = 1
LCM(75407,75414) = ( 75407 × 75414) / 1
LCM(75407,75414) = 5686743498 / 1
LCM(75407,75414) = 5686743498

Least Common Multiple (LCM) of 75407 and 75414 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75407 and 75414. First we will calculate the prime factors of 75407 and 75414.

Prime Factorization of 75407

Prime Factorization of 75414

Now multiplying the highest exponent prime factors to calculate the LCM of 75407 and 75414.

LCM(75407,75414) = 75407¹ × 2¹ × 3¹ × 12569¹
LCM(75407,75414) = 5686743498