What is the Least Common Multiple of 16768 and 16780?

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 16768 and 16780 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16768 and 16780, than apply into the LCM equation.

GCF(16768,16780) = 4
LCM(16768,16780) = ( 16768 × 16780) / 4
LCM(16768,16780) = 281367040 / 4
LCM(16768,16780) = 70341760

Least Common Multiple (LCM) of 16768 and 16780 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16768 and 16780. First we will calculate the prime factors of 16768 and 16780.

Prime Factorization of 16768

Prime Factorization of 16780

Now multiplying the highest exponent prime factors to calculate the LCM of 16768 and 16780.

LCM(16768,16780) = 2⁷ × 131¹ × 5¹ × 839¹
LCM(16768,16780) = 70341760