What is the Least Common Multiple of 77140 and 77160?

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 77140 and 77160 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77140 and 77160, than apply into the LCM equation.

GCF(77140,77160) = 20
LCM(77140,77160) = ( 77140 × 77160) / 20
LCM(77140,77160) = 5952122400 / 20
LCM(77140,77160) = 297606120

Least Common Multiple (LCM) of 77140 and 77160 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77140 and 77160. First we will calculate the prime factors of 77140 and 77160.

Prime Factorization of 77140

Prime Factorization of 77160

Now multiplying the highest exponent prime factors to calculate the LCM of 77140 and 77160.

LCM(77140,77160) = 2³ × 5¹ × 7¹ × 19¹ × 29¹ × 3¹ × 643¹
LCM(77140,77160) = 297606120