What is the Least Common Multiple of 71770 and 71788?

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 71770 and 71788 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71770 and 71788, than apply into the LCM equation.

GCF(71770,71788) = 2
LCM(71770,71788) = ( 71770 × 71788) / 2
LCM(71770,71788) = 5152224760 / 2
LCM(71770,71788) = 2576112380

Least Common Multiple (LCM) of 71770 and 71788 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71770 and 71788. First we will calculate the prime factors of 71770 and 71788.

Prime Factorization of 71770

Prime Factorization of 71788

Now multiplying the highest exponent prime factors to calculate the LCM of 71770 and 71788.

LCM(71770,71788) = 2² × 5¹ × 7177¹ × 131¹ × 137¹
LCM(71770,71788) = 2576112380