What is the Least Common Multiple of 91890 and 91897?

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 91890 and 91897 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91890 and 91897, than apply into the LCM equation.

GCF(91890,91897) = 1
LCM(91890,91897) = ( 91890 × 91897) / 1
LCM(91890,91897) = 8444415330 / 1
LCM(91890,91897) = 8444415330

Least Common Multiple (LCM) of 91890 and 91897 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91890 and 91897. First we will calculate the prime factors of 91890 and 91897.

Prime Factorization of 91890

Prime Factorization of 91897

Now multiplying the highest exponent prime factors to calculate the LCM of 91890 and 91897.

LCM(91890,91897) = 2¹ × 3² × 5¹ × 1021¹ × 13¹ × 7069¹
LCM(91890,91897) = 8444415330