What is the Least Common Multiple of 76768 and 76780?

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 76780 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 76780, than apply into the LCM equation.

GCF(76768,76780) = 4
LCM(76768,76780) = ( 76768 × 76780) / 4
LCM(76768,76780) = 5894247040 / 4
LCM(76768,76780) = 1473561760

Least Common Multiple (LCM) of 76768 and 76780 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76768 and 76780. First we will calculate the prime factors of 76768 and 76780.

Prime Factorization of 76768

Prime Factorization of 76780

Now multiplying the highest exponent prime factors to calculate the LCM of 76768 and 76780.

LCM(76768,76780) = 2⁵ × 2399¹ × 5¹ × 11¹ × 349¹
LCM(76768,76780) = 1473561760