What is the Least Common Multiple of 68760 and 68768?

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 68760 and 68768 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68760 and 68768, than apply into the LCM equation.

GCF(68760,68768) = 8
LCM(68760,68768) = ( 68760 × 68768) / 8
LCM(68760,68768) = 4728487680 / 8
LCM(68760,68768) = 591060960

Least Common Multiple (LCM) of 68760 and 68768 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68760 and 68768. First we will calculate the prime factors of 68760 and 68768.

Prime Factorization of 68760

Prime Factorization of 68768

Now multiplying the highest exponent prime factors to calculate the LCM of 68760 and 68768.

LCM(68760,68768) = 2⁵ × 3² × 5¹ × 191¹ × 7¹ × 307¹
LCM(68760,68768) = 591060960