What is the Least Common Multiple of 75870 and 75887?

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 75870 and 75887 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75870 and 75887, than apply into the LCM equation.

GCF(75870,75887) = 1
LCM(75870,75887) = ( 75870 × 75887) / 1
LCM(75870,75887) = 5757546690 / 1
LCM(75870,75887) = 5757546690

Least Common Multiple (LCM) of 75870 and 75887 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75870 and 75887. First we will calculate the prime factors of 75870 and 75887.

Prime Factorization of 75870

Prime Factorization of 75887

Now multiplying the highest exponent prime factors to calculate the LCM of 75870 and 75887.

LCM(75870,75887) = 2¹ × 3³ × 5¹ × 281¹ × 7¹ × 37¹ × 293¹
LCM(75870,75887) = 5757546690