What is the Least Common Multiple of 44910 and 44930?

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 44910 and 44930 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44910 and 44930, than apply into the LCM equation.

GCF(44910,44930) = 10
LCM(44910,44930) = ( 44910 × 44930) / 10
LCM(44910,44930) = 2017806300 / 10
LCM(44910,44930) = 201780630

Least Common Multiple (LCM) of 44910 and 44930 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44910 and 44930. First we will calculate the prime factors of 44910 and 44930.

Prime Factorization of 44910

Prime Factorization of 44930

Now multiplying the highest exponent prime factors to calculate the LCM of 44910 and 44930.

LCM(44910,44930) = 2¹ × 3² × 5¹ × 499¹ × 4493¹
LCM(44910,44930) = 201780630