What is the Least Common Multiple of 77800 and 77805?

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 77800 and 77805 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77800 and 77805, than apply into the LCM equation.

GCF(77800,77805) = 5
LCM(77800,77805) = ( 77800 × 77805) / 5
LCM(77800,77805) = 6053229000 / 5
LCM(77800,77805) = 1210645800

Least Common Multiple (LCM) of 77800 and 77805 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77800 and 77805. First we will calculate the prime factors of 77800 and 77805.

Prime Factorization of 77800

Prime Factorization of 77805

Now multiplying the highest exponent prime factors to calculate the LCM of 77800 and 77805.

LCM(77800,77805) = 2³ × 5² × 389¹ × 3² × 7¹ × 13¹ × 19¹
LCM(77800,77805) = 1210645800