What is the Least Common Multiple of 91890 and 91906?

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 91906 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 91906, than apply into the LCM equation.

GCF(91890,91906) = 2
LCM(91890,91906) = ( 91890 × 91906) / 2
LCM(91890,91906) = 8445242340 / 2
LCM(91890,91906) = 4222621170

Least Common Multiple (LCM) of 91890 and 91906 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91890 and 91906. First we will calculate the prime factors of 91890 and 91906.

Prime Factorization of 91890

Prime Factorization of 91906

Now multiplying the highest exponent prime factors to calculate the LCM of 91890 and 91906.

LCM(91890,91906) = 2¹ × 3² × 5¹ × 1021¹ × 45953¹
LCM(91890,91906) = 4222621170