What is the Least Common Multiple of 81753 and 81773?

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 81753 and 81773 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81753 and 81773, than apply into the LCM equation.

GCF(81753,81773) = 1
LCM(81753,81773) = ( 81753 × 81773) / 1
LCM(81753,81773) = 6685188069 / 1
LCM(81753,81773) = 6685188069

Least Common Multiple (LCM) of 81753 and 81773 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81753 and 81773. First we will calculate the prime factors of 81753 and 81773.

Prime Factorization of 81753

Prime Factorization of 81773

Now multiplying the highest exponent prime factors to calculate the LCM of 81753 and 81773.

LCM(81753,81773) = 3¹ × 7¹ × 17¹ × 229¹ × 81773¹
LCM(81753,81773) = 6685188069