What is the Least Common Multiple of 45074 and 45083?

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 45074 and 45083 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45074 and 45083, than apply into the LCM equation.

GCF(45074,45083) = 1
LCM(45074,45083) = ( 45074 × 45083) / 1
LCM(45074,45083) = 2032071142 / 1
LCM(45074,45083) = 2032071142

Least Common Multiple (LCM) of 45074 and 45083 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45074 and 45083. First we will calculate the prime factors of 45074 and 45083.

Prime Factorization of 45074

Prime Factorization of 45083

Now multiplying the highest exponent prime factors to calculate the LCM of 45074 and 45083.

LCM(45074,45083) = 2¹ × 31¹ × 727¹ × 45083¹
LCM(45074,45083) = 2032071142