What is the Least Common Multiple of 77270 and 77275?

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 77270 and 77275 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77270 and 77275, than apply into the LCM equation.

GCF(77270,77275) = 5
LCM(77270,77275) = ( 77270 × 77275) / 5
LCM(77270,77275) = 5971039250 / 5
LCM(77270,77275) = 1194207850

Least Common Multiple (LCM) of 77270 and 77275 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77270 and 77275. First we will calculate the prime factors of 77270 and 77275.

Prime Factorization of 77270

Prime Factorization of 77275

Now multiplying the highest exponent prime factors to calculate the LCM of 77270 and 77275.

LCM(77270,77275) = 2¹ × 5² × 7727¹ × 11¹ × 281¹
LCM(77270,77275) = 1194207850