What is the Least Common Multiple of 85024 and 85042?

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 85024 and 85042 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85024 and 85042, than apply into the LCM equation.

GCF(85024,85042) = 2
LCM(85024,85042) = ( 85024 × 85042) / 2
LCM(85024,85042) = 7230611008 / 2
LCM(85024,85042) = 3615305504

Least Common Multiple (LCM) of 85024 and 85042 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85024 and 85042. First we will calculate the prime factors of 85024 and 85042.

Prime Factorization of 85024

Prime Factorization of 85042

Now multiplying the highest exponent prime factors to calculate the LCM of 85024 and 85042.

LCM(85024,85042) = 2⁵ × 2657¹ × 101¹ × 421¹
LCM(85024,85042) = 3615305504