What is the Least Common Multiple of 91042 and 91048?

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 91042 and 91048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91042 and 91048, than apply into the LCM equation.

GCF(91042,91048) = 2
LCM(91042,91048) = ( 91042 × 91048) / 2
LCM(91042,91048) = 8289192016 / 2
LCM(91042,91048) = 4144596008

Least Common Multiple (LCM) of 91042 and 91048 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91042 and 91048. First we will calculate the prime factors of 91042 and 91048.

Prime Factorization of 91042

Prime Factorization of 91048

Now multiplying the highest exponent prime factors to calculate the LCM of 91042 and 91048.

LCM(91042,91048) = 2³ × 7² × 929¹ × 19¹ × 599¹
LCM(91042,91048) = 4144596008