What is the Least Common Multiple of 90050 and 90055?

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 90050 and 90055 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90050 and 90055, than apply into the LCM equation.

GCF(90050,90055) = 5
LCM(90050,90055) = ( 90050 × 90055) / 5
LCM(90050,90055) = 8109452750 / 5
LCM(90050,90055) = 1621890550

Least Common Multiple (LCM) of 90050 and 90055 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90050 and 90055. First we will calculate the prime factors of 90050 and 90055.

Prime Factorization of 90050

Prime Factorization of 90055

Now multiplying the highest exponent prime factors to calculate the LCM of 90050 and 90055.

LCM(90050,90055) = 2¹ × 5² × 1801¹ × 7¹ × 31¹ × 83¹
LCM(90050,90055) = 1621890550