What is the Least Common Multiple of 71780 and 71785?

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 71780 and 71785 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71780 and 71785, than apply into the LCM equation.

GCF(71780,71785) = 5
LCM(71780,71785) = ( 71780 × 71785) / 5
LCM(71780,71785) = 5152727300 / 5
LCM(71780,71785) = 1030545460

Least Common Multiple (LCM) of 71780 and 71785 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71780 and 71785. First we will calculate the prime factors of 71780 and 71785.

Prime Factorization of 71780

Prime Factorization of 71785

Now multiplying the highest exponent prime factors to calculate the LCM of 71780 and 71785.

LCM(71780,71785) = 2² × 5¹ × 37¹ × 97¹ × 7² × 293¹
LCM(71780,71785) = 1030545460