What is the Least Common Multiple of 92768 and 92780?

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 92768 and 92780 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92768 and 92780, than apply into the LCM equation.

GCF(92768,92780) = 4
LCM(92768,92780) = ( 92768 × 92780) / 4
LCM(92768,92780) = 8607015040 / 4
LCM(92768,92780) = 2151753760

Least Common Multiple (LCM) of 92768 and 92780 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92768 and 92780. First we will calculate the prime factors of 92768 and 92780.

Prime Factorization of 92768

Prime Factorization of 92780

Now multiplying the highest exponent prime factors to calculate the LCM of 92768 and 92780.

LCM(92768,92780) = 2⁵ × 13¹ × 223¹ × 5¹ × 4639¹
LCM(92768,92780) = 2151753760