What is the Least Common Multiple of 76768 and 76782?

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 76768 and 76782 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76768 and 76782, than apply into the LCM equation.

GCF(76768,76782) = 2
LCM(76768,76782) = ( 76768 × 76782) / 2
LCM(76768,76782) = 5894400576 / 2
LCM(76768,76782) = 2947200288

Least Common Multiple (LCM) of 76768 and 76782 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76768 and 76782. First we will calculate the prime factors of 76768 and 76782.

Prime Factorization of 76768

Prime Factorization of 76782

Now multiplying the highest exponent prime factors to calculate the LCM of 76768 and 76782.

LCM(76768,76782) = 2⁵ × 2399¹ × 3¹ × 67¹ × 191¹
LCM(76768,76782) = 2947200288