What is the Least Common Multiple of 85488 and 85498?

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 85488 and 85498 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85488 and 85498, than apply into the LCM equation.

GCF(85488,85498) = 2
LCM(85488,85498) = ( 85488 × 85498) / 2
LCM(85488,85498) = 7309053024 / 2
LCM(85488,85498) = 3654526512

Least Common Multiple (LCM) of 85488 and 85498 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85488 and 85498. First we will calculate the prime factors of 85488 and 85498.

Prime Factorization of 85488

Prime Factorization of 85498

Now multiplying the highest exponent prime factors to calculate the LCM of 85488 and 85498.

LCM(85488,85498) = 2⁴ × 3¹ × 13¹ × 137¹ × 7¹ × 31¹ × 197¹
LCM(85488,85498) = 3654526512