What is the Least Common Multiple of 75663 and 75670?

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 75663 and 75670 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75663 and 75670, than apply into the LCM equation.

GCF(75663,75670) = 7
LCM(75663,75670) = ( 75663 × 75670) / 7
LCM(75663,75670) = 5725419210 / 7
LCM(75663,75670) = 817917030

Least Common Multiple (LCM) of 75663 and 75670 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75663 and 75670. First we will calculate the prime factors of 75663 and 75670.

Prime Factorization of 75663

Prime Factorization of 75670

Now multiplying the highest exponent prime factors to calculate the LCM of 75663 and 75670.

LCM(75663,75670) = 3² × 7¹ × 1201¹ × 2¹ × 5¹ × 23¹ × 47¹
LCM(75663,75670) = 817917030