What is the Least Common Multiple of 77174 and 77180?

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 77174 and 77180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77174 and 77180, than apply into the LCM equation.

GCF(77174,77180) = 2
LCM(77174,77180) = ( 77174 × 77180) / 2
LCM(77174,77180) = 5956289320 / 2
LCM(77174,77180) = 2978144660

Least Common Multiple (LCM) of 77174 and 77180 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77174 and 77180. First we will calculate the prime factors of 77174 and 77180.

Prime Factorization of 77174

Prime Factorization of 77180

Now multiplying the highest exponent prime factors to calculate the LCM of 77174 and 77180.

LCM(77174,77180) = 2² × 47¹ × 821¹ × 5¹ × 17¹ × 227¹
LCM(77174,77180) = 2978144660