What is the Least Common Multiple of 75710 and 75715?

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 75710 and 75715 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75710 and 75715, than apply into the LCM equation.

GCF(75710,75715) = 5
LCM(75710,75715) = ( 75710 × 75715) / 5
LCM(75710,75715) = 5732382650 / 5
LCM(75710,75715) = 1146476530

Least Common Multiple (LCM) of 75710 and 75715 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75710 and 75715. First we will calculate the prime factors of 75710 and 75715.

Prime Factorization of 75710

Prime Factorization of 75715

Now multiplying the highest exponent prime factors to calculate the LCM of 75710 and 75715.

LCM(75710,75715) = 2¹ × 5¹ × 67¹ × 113¹ × 19¹ × 797¹
LCM(75710,75715) = 1146476530