What is the Least Common Multiple of 75759 and 75767?

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 75759 and 75767 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75759 and 75767, than apply into the LCM equation.

GCF(75759,75767) = 1
LCM(75759,75767) = ( 75759 × 75767) / 1
LCM(75759,75767) = 5740032153 / 1
LCM(75759,75767) = 5740032153

Least Common Multiple (LCM) of 75759 and 75767 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75759 and 75767. First we will calculate the prime factors of 75759 and 75767.

Prime Factorization of 75759

Prime Factorization of 75767

Now multiplying the highest exponent prime factors to calculate the LCM of 75759 and 75767.

LCM(75759,75767) = 3¹ × 25253¹ × 75767¹
LCM(75759,75767) = 5740032153