What is the Least Common Multiple of 85780 and 85785?

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 85780 and 85785 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85780 and 85785, than apply into the LCM equation.

GCF(85780,85785) = 5
LCM(85780,85785) = ( 85780 × 85785) / 5
LCM(85780,85785) = 7358637300 / 5
LCM(85780,85785) = 1471727460

Least Common Multiple (LCM) of 85780 and 85785 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85780 and 85785. First we will calculate the prime factors of 85780 and 85785.

Prime Factorization of 85780

Prime Factorization of 85785

Now multiplying the highest exponent prime factors to calculate the LCM of 85780 and 85785.

LCM(85780,85785) = 2² × 5¹ × 4289¹ × 3¹ × 7¹ × 19¹ × 43¹
LCM(85780,85785) = 1471727460