What is the Least Common Multiple of 85720 and 85729?

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 85720 and 85729 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85720 and 85729, than apply into the LCM equation.

GCF(85720,85729) = 1
LCM(85720,85729) = ( 85720 × 85729) / 1
LCM(85720,85729) = 7348689880 / 1
LCM(85720,85729) = 7348689880

Least Common Multiple (LCM) of 85720 and 85729 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85720 and 85729. First we will calculate the prime factors of 85720 and 85729.

Prime Factorization of 85720

Prime Factorization of 85729

Now multiplying the highest exponent prime factors to calculate the LCM of 85720 and 85729.

LCM(85720,85729) = 2³ × 5¹ × 2143¹ × 7¹ × 37¹ × 331¹
LCM(85720,85729) = 7348689880