What is the Least Common Multiple of 85760 and 85768?

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 85760 and 85768 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85760 and 85768, than apply into the LCM equation.

GCF(85760,85768) = 8
LCM(85760,85768) = ( 85760 × 85768) / 8
LCM(85760,85768) = 7355463680 / 8
LCM(85760,85768) = 919432960

Least Common Multiple (LCM) of 85760 and 85768 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85760 and 85768. First we will calculate the prime factors of 85760 and 85768.

Prime Factorization of 85760

Prime Factorization of 85768

Now multiplying the highest exponent prime factors to calculate the LCM of 85760 and 85768.

LCM(85760,85768) = 2⁸ × 5¹ × 67¹ × 71¹ × 151¹
LCM(85760,85768) = 919432960