What is the Least Common Multiple of 77200 and 77205?

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 77200 and 77205 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77200 and 77205, than apply into the LCM equation.

GCF(77200,77205) = 5
LCM(77200,77205) = ( 77200 × 77205) / 5
LCM(77200,77205) = 5960226000 / 5
LCM(77200,77205) = 1192045200

Least Common Multiple (LCM) of 77200 and 77205 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77200 and 77205. First we will calculate the prime factors of 77200 and 77205.

Prime Factorization of 77200

Prime Factorization of 77205

Now multiplying the highest exponent prime factors to calculate the LCM of 77200 and 77205.

LCM(77200,77205) = 2⁴ × 5² × 193¹ × 3¹ × 5147¹
LCM(77200,77205) = 1192045200