What is the Least Common Multiple of 75390 and 75407?

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 75390 and 75407 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75390 and 75407, than apply into the LCM equation.

GCF(75390,75407) = 1
LCM(75390,75407) = ( 75390 × 75407) / 1
LCM(75390,75407) = 5684933730 / 1
LCM(75390,75407) = 5684933730

Least Common Multiple (LCM) of 75390 and 75407 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75390 and 75407. First we will calculate the prime factors of 75390 and 75407.

Prime Factorization of 75390

Prime Factorization of 75407

Now multiplying the highest exponent prime factors to calculate the LCM of 75390 and 75407.

LCM(75390,75407) = 2¹ × 3¹ × 5¹ × 7¹ × 359¹ × 75407¹
LCM(75390,75407) = 5684933730