What is the Least Common Multiple of 90546 and 90550?

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 90546 and 90550 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90546 and 90550, than apply into the LCM equation.

GCF(90546,90550) = 2
LCM(90546,90550) = ( 90546 × 90550) / 2
LCM(90546,90550) = 8198940300 / 2
LCM(90546,90550) = 4099470150

Least Common Multiple (LCM) of 90546 and 90550 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90546 and 90550. First we will calculate the prime factors of 90546 and 90550.

Prime Factorization of 90546

Prime Factorization of 90550

Now multiplying the highest exponent prime factors to calculate the LCM of 90546 and 90550.

LCM(90546,90550) = 2¹ × 3¹ × 15091¹ × 5² × 1811¹
LCM(90546,90550) = 4099470150