What is the Least Common Multiple of 91000 and 91014?

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 91000 and 91014 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91000 and 91014, than apply into the LCM equation.

GCF(91000,91014) = 14
LCM(91000,91014) = ( 91000 × 91014) / 14
LCM(91000,91014) = 8282274000 / 14
LCM(91000,91014) = 591591000

Least Common Multiple (LCM) of 91000 and 91014 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91000 and 91014. First we will calculate the prime factors of 91000 and 91014.

Prime Factorization of 91000

Prime Factorization of 91014

Now multiplying the highest exponent prime factors to calculate the LCM of 91000 and 91014.

LCM(91000,91014) = 2³ × 5³ × 7¹ × 13¹ × 3¹ × 11¹ × 197¹
LCM(91000,91014) = 591591000