What is the Least Common Multiple of 77860 and 77872?

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 77860 and 77872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77860 and 77872, than apply into the LCM equation.

GCF(77860,77872) = 4
LCM(77860,77872) = ( 77860 × 77872) / 4
LCM(77860,77872) = 6063113920 / 4
LCM(77860,77872) = 1515778480

Least Common Multiple (LCM) of 77860 and 77872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77860 and 77872. First we will calculate the prime factors of 77860 and 77872.

Prime Factorization of 77860

Prime Factorization of 77872

Now multiplying the highest exponent prime factors to calculate the LCM of 77860 and 77872.

LCM(77860,77872) = 2⁴ × 5¹ × 17¹ × 229¹ × 31¹ × 157¹
LCM(77860,77872) = 1515778480