What is the Least Common Multiple of 91438 and 91458?

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 91438 and 91458 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91438 and 91458, than apply into the LCM equation.

GCF(91438,91458) = 2
LCM(91438,91458) = ( 91438 × 91458) / 2
LCM(91438,91458) = 8362736604 / 2
LCM(91438,91458) = 4181368302

Least Common Multiple (LCM) of 91438 and 91458 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91438 and 91458. First we will calculate the prime factors of 91438 and 91458.

Prime Factorization of 91438

Prime Factorization of 91458

Now multiplying the highest exponent prime factors to calculate the LCM of 91438 and 91458.

LCM(91438,91458) = 2¹ × 131¹ × 349¹ × 3² × 5081¹
LCM(91438,91458) = 4181368302