What is the Least Common Multiple of 75670 and 75689?

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 75670 and 75689 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75670 and 75689, than apply into the LCM equation.

GCF(75670,75689) = 1
LCM(75670,75689) = ( 75670 × 75689) / 1
LCM(75670,75689) = 5727386630 / 1
LCM(75670,75689) = 5727386630

Least Common Multiple (LCM) of 75670 and 75689 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75670 and 75689. First we will calculate the prime factors of 75670 and 75689.

Prime Factorization of 75670

Prime Factorization of 75689

Now multiplying the highest exponent prime factors to calculate the LCM of 75670 and 75689.

LCM(75670,75689) = 2¹ × 5¹ × 7¹ × 23¹ × 47¹ × 75689¹
LCM(75670,75689) = 5727386630