What is the Least Common Multiple of 85770 and 85775?

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 85770 and 85775 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85770 and 85775, than apply into the LCM equation.

GCF(85770,85775) = 5
LCM(85770,85775) = ( 85770 × 85775) / 5
LCM(85770,85775) = 7356921750 / 5
LCM(85770,85775) = 1471384350

Least Common Multiple (LCM) of 85770 and 85775 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85770 and 85775. First we will calculate the prime factors of 85770 and 85775.

Prime Factorization of 85770

Prime Factorization of 85775

Now multiplying the highest exponent prime factors to calculate the LCM of 85770 and 85775.

LCM(85770,85775) = 2¹ × 3² × 5² × 953¹ × 47¹ × 73¹
LCM(85770,85775) = 1471384350