What is the Least Common Multiple of 91014 and 91033?

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 91014 and 91033 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91014 and 91033, than apply into the LCM equation.

GCF(91014,91033) = 1
LCM(91014,91033) = ( 91014 × 91033) / 1
LCM(91014,91033) = 8285277462 / 1
LCM(91014,91033) = 8285277462

Least Common Multiple (LCM) of 91014 and 91033 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91014 and 91033. First we will calculate the prime factors of 91014 and 91033.

Prime Factorization of 91014

Prime Factorization of 91033

Now multiplying the highest exponent prime factors to calculate the LCM of 91014 and 91033.

LCM(91014,91033) = 2¹ × 3¹ × 7¹ × 11¹ × 197¹ × 91033¹
LCM(91014,91033) = 8285277462