What is the Least Common Multiple of 45475 and 45490?

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 45475 and 45490 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45475 and 45490, than apply into the LCM equation.

GCF(45475,45490) = 5
LCM(45475,45490) = ( 45475 × 45490) / 5
LCM(45475,45490) = 2068657750 / 5
LCM(45475,45490) = 413731550

Least Common Multiple (LCM) of 45475 and 45490 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45475 and 45490. First we will calculate the prime factors of 45475 and 45490.

Prime Factorization of 45475

Prime Factorization of 45490

Now multiplying the highest exponent prime factors to calculate the LCM of 45475 and 45490.

LCM(45475,45490) = 5² × 17¹ × 107¹ × 2¹ × 4549¹
LCM(45475,45490) = 413731550