What is the Least Common Multiple of 91890 and 91902?

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 91902 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 91902, than apply into the LCM equation.

GCF(91890,91902) = 6
LCM(91890,91902) = ( 91890 × 91902) / 6
LCM(91890,91902) = 8444874780 / 6
LCM(91890,91902) = 1407479130

Least Common Multiple (LCM) of 91890 and 91902 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91890 and 91902. First we will calculate the prime factors of 91890 and 91902.

Prime Factorization of 91890

Prime Factorization of 91902

Now multiplying the highest exponent prime factors to calculate the LCM of 91890 and 91902.

LCM(91890,91902) = 2¹ × 3² × 5¹ × 1021¹ × 17² × 53¹
LCM(91890,91902) = 1407479130