What is the Least Common Multiple of 92780 and 92796?

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 92780 and 92796 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92780 and 92796, than apply into the LCM equation.

GCF(92780,92796) = 4
LCM(92780,92796) = ( 92780 × 92796) / 4
LCM(92780,92796) = 8609612880 / 4
LCM(92780,92796) = 2152403220

Least Common Multiple (LCM) of 92780 and 92796 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92780 and 92796. First we will calculate the prime factors of 92780 and 92796.

Prime Factorization of 92780

Prime Factorization of 92796

Now multiplying the highest exponent prime factors to calculate the LCM of 92780 and 92796.

LCM(92780,92796) = 2² × 5¹ × 4639¹ × 3¹ × 11¹ × 19¹ × 37¹
LCM(92780,92796) = 2152403220