What is the Least Common Multiple of 82720 and 82732?

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 82720 and 82732 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82720 and 82732, than apply into the LCM equation.

GCF(82720,82732) = 4
LCM(82720,82732) = ( 82720 × 82732) / 4
LCM(82720,82732) = 6843591040 / 4
LCM(82720,82732) = 1710897760

Least Common Multiple (LCM) of 82720 and 82732 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82720 and 82732. First we will calculate the prime factors of 82720 and 82732.

Prime Factorization of 82720

Prime Factorization of 82732

Now multiplying the highest exponent prime factors to calculate the LCM of 82720 and 82732.

LCM(82720,82732) = 2⁵ × 5¹ × 11¹ × 47¹ × 13¹ × 37¹ × 43¹
LCM(82720,82732) = 1710897760