What is the Least Common Multiple of 84529 and 84548?

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 84529 and 84548 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84529 and 84548, than apply into the LCM equation.

GCF(84529,84548) = 1
LCM(84529,84548) = ( 84529 × 84548) / 1
LCM(84529,84548) = 7146757892 / 1
LCM(84529,84548) = 7146757892

Least Common Multiple (LCM) of 84529 and 84548 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84529 and 84548. First we will calculate the prime factors of 84529 and 84548.

Prime Factorization of 84529

Prime Factorization of 84548

Now multiplying the highest exponent prime factors to calculate the LCM of 84529 and 84548.

LCM(84529,84548) = 137¹ × 617¹ × 2² × 23¹ × 919¹
LCM(84529,84548) = 7146757892