What is the Least Common Multiple of 77160 and 77168?

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 77160 and 77168 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77160 and 77168, than apply into the LCM equation.

GCF(77160,77168) = 8
LCM(77160,77168) = ( 77160 × 77168) / 8
LCM(77160,77168) = 5954282880 / 8
LCM(77160,77168) = 744285360

Least Common Multiple (LCM) of 77160 and 77168 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77160 and 77168. First we will calculate the prime factors of 77160 and 77168.

Prime Factorization of 77160

Prime Factorization of 77168

Now multiplying the highest exponent prime factors to calculate the LCM of 77160 and 77168.

LCM(77160,77168) = 2⁴ × 3¹ × 5¹ × 643¹ × 7¹ × 13¹ × 53¹
LCM(77160,77168) = 744285360