What is the Least Common Multiple of 84754 and 84765?

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 84754 and 84765 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84754 and 84765, than apply into the LCM equation.

GCF(84754,84765) = 1
LCM(84754,84765) = ( 84754 × 84765) / 1
LCM(84754,84765) = 7184172810 / 1
LCM(84754,84765) = 7184172810

Least Common Multiple (LCM) of 84754 and 84765 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84754 and 84765. First we will calculate the prime factors of 84754 and 84765.

Prime Factorization of 84754

Prime Factorization of 84765

Now multiplying the highest exponent prime factors to calculate the LCM of 84754 and 84765.

LCM(84754,84765) = 2¹ × 31¹ × 1367¹ × 3¹ × 5¹ × 5651¹
LCM(84754,84765) = 7184172810