What is the Least Common Multiple of 77160 and 77174?

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 77174 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 77174, than apply into the LCM equation.

GCF(77160,77174) = 2
LCM(77160,77174) = ( 77160 × 77174) / 2
LCM(77160,77174) = 5954745840 / 2
LCM(77160,77174) = 2977372920

Least Common Multiple (LCM) of 77160 and 77174 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77160 and 77174. First we will calculate the prime factors of 77160 and 77174.

Prime Factorization of 77160

Prime Factorization of 77174

Now multiplying the highest exponent prime factors to calculate the LCM of 77160 and 77174.

LCM(77160,77174) = 2³ × 3¹ × 5¹ × 643¹ × 47¹ × 821¹
LCM(77160,77174) = 2977372920