What is the Least Common Multiple of 91048 and 91067?

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 91048 and 91067 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91048 and 91067, than apply into the LCM equation.

GCF(91048,91067) = 19
LCM(91048,91067) = ( 91048 × 91067) / 19
LCM(91048,91067) = 8291468216 / 19
LCM(91048,91067) = 436393064

Least Common Multiple (LCM) of 91048 and 91067 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91048 and 91067. First we will calculate the prime factors of 91048 and 91067.

Prime Factorization of 91048

Prime Factorization of 91067

Now multiplying the highest exponent prime factors to calculate the LCM of 91048 and 91067.

LCM(91048,91067) = 2³ × 19¹ × 599¹ × 4793¹
LCM(91048,91067) = 436393064