What is the Least Common Multiple of 75392 and 75406?

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 75392 and 75406 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75392 and 75406, than apply into the LCM equation.

GCF(75392,75406) = 2
LCM(75392,75406) = ( 75392 × 75406) / 2
LCM(75392,75406) = 5685009152 / 2
LCM(75392,75406) = 2842504576

Least Common Multiple (LCM) of 75392 and 75406 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75392 and 75406. First we will calculate the prime factors of 75392 and 75406.

Prime Factorization of 75392

Prime Factorization of 75406

Now multiplying the highest exponent prime factors to calculate the LCM of 75392 and 75406.

LCM(75392,75406) = 2⁷ × 19¹ × 31¹ × 37¹ × 1019¹
LCM(75392,75406) = 2842504576