What is the Least Common Multiple of 77000 and 77008?

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 77000 and 77008 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77000 and 77008, than apply into the LCM equation.

GCF(77000,77008) = 8
LCM(77000,77008) = ( 77000 × 77008) / 8
LCM(77000,77008) = 5929616000 / 8
LCM(77000,77008) = 741202000

Least Common Multiple (LCM) of 77000 and 77008 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77000 and 77008. First we will calculate the prime factors of 77000 and 77008.

Prime Factorization of 77000

Prime Factorization of 77008

Now multiplying the highest exponent prime factors to calculate the LCM of 77000 and 77008.

LCM(77000,77008) = 2⁴ × 5³ × 7¹ × 11¹ × 4813¹
LCM(77000,77008) = 741202000