What is the Least Common Multiple of 81759 and 81765?

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 81759 and 81765 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81759 and 81765, than apply into the LCM equation.

GCF(81759,81765) = 3
LCM(81759,81765) = ( 81759 × 81765) / 3
LCM(81759,81765) = 6685024635 / 3
LCM(81759,81765) = 2228341545

Least Common Multiple (LCM) of 81759 and 81765 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81759 and 81765. First we will calculate the prime factors of 81759 and 81765.

Prime Factorization of 81759

Prime Factorization of 81765

Now multiplying the highest exponent prime factors to calculate the LCM of 81759 and 81765.

LCM(81759,81765) = 3² × 27253¹ × 5¹ × 23¹ × 79¹
LCM(81759,81765) = 2228341545