What is the Least Common Multiple of 68768 and 68780?

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 68768 and 68780 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68768 and 68780, than apply into the LCM equation.

GCF(68768,68780) = 4
LCM(68768,68780) = ( 68768 × 68780) / 4
LCM(68768,68780) = 4729863040 / 4
LCM(68768,68780) = 1182465760

Least Common Multiple (LCM) of 68768 and 68780 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68768 and 68780. First we will calculate the prime factors of 68768 and 68780.

Prime Factorization of 68768

Prime Factorization of 68780

Now multiplying the highest exponent prime factors to calculate the LCM of 68768 and 68780.

LCM(68768,68780) = 2⁵ × 7¹ × 307¹ × 5¹ × 19¹ × 181¹
LCM(68768,68780) = 1182465760