What is the Least Common Multiple of 71788 and 71795?

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 71788 and 71795 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71788 and 71795, than apply into the LCM equation.

GCF(71788,71795) = 1
LCM(71788,71795) = ( 71788 × 71795) / 1
LCM(71788,71795) = 5154019460 / 1
LCM(71788,71795) = 5154019460

Least Common Multiple (LCM) of 71788 and 71795 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71788 and 71795. First we will calculate the prime factors of 71788 and 71795.

Prime Factorization of 71788

Prime Factorization of 71795

Now multiplying the highest exponent prime factors to calculate the LCM of 71788 and 71795.

LCM(71788,71795) = 2² × 131¹ × 137¹ × 5¹ × 83¹ × 173¹
LCM(71788,71795) = 5154019460