What is the Least Common Multiple of 82720 and 82726?

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 82726 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 82726, than apply into the LCM equation.

GCF(82720,82726) = 2
LCM(82720,82726) = ( 82720 × 82726) / 2
LCM(82720,82726) = 6843094720 / 2
LCM(82720,82726) = 3421547360

Least Common Multiple (LCM) of 82720 and 82726 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82720 and 82726. First we will calculate the prime factors of 82720 and 82726.

Prime Factorization of 82720

Prime Factorization of 82726

Now multiplying the highest exponent prime factors to calculate the LCM of 82720 and 82726.

LCM(82720,82726) = 2⁵ × 5¹ × 11¹ × 47¹ × 7¹ × 19¹ × 311¹
LCM(82720,82726) = 3421547360