What is the Least Common Multiple of 85740 and 85745?

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 85740 and 85745 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85740 and 85745, than apply into the LCM equation.

GCF(85740,85745) = 5
LCM(85740,85745) = ( 85740 × 85745) / 5
LCM(85740,85745) = 7351776300 / 5
LCM(85740,85745) = 1470355260

Least Common Multiple (LCM) of 85740 and 85745 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85740 and 85745. First we will calculate the prime factors of 85740 and 85745.

Prime Factorization of 85740

Prime Factorization of 85745

Now multiplying the highest exponent prime factors to calculate the LCM of 85740 and 85745.

LCM(85740,85745) = 2² × 3¹ × 5¹ × 1429¹ × 11¹ × 1559¹
LCM(85740,85745) = 1470355260