What is the Least Common Multiple of 57760 and 57768?

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 57760 and 57768 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57760 and 57768, than apply into the LCM equation.

GCF(57760,57768) = 8
LCM(57760,57768) = ( 57760 × 57768) / 8
LCM(57760,57768) = 3336679680 / 8
LCM(57760,57768) = 417084960

Least Common Multiple (LCM) of 57760 and 57768 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57760 and 57768. First we will calculate the prime factors of 57760 and 57768.

Prime Factorization of 57760

Prime Factorization of 57768

Now multiplying the highest exponent prime factors to calculate the LCM of 57760 and 57768.

LCM(57760,57768) = 2⁵ × 5¹ × 19² × 3¹ × 29¹ × 83¹
LCM(57760,57768) = 417084960