What is the Least Common Multiple of 90090 and 90103?

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 90090 and 90103 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90090 and 90103, than apply into the LCM equation.

GCF(90090,90103) = 13
LCM(90090,90103) = ( 90090 × 90103) / 13
LCM(90090,90103) = 8117379270 / 13
LCM(90090,90103) = 624413790

Least Common Multiple (LCM) of 90090 and 90103 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90090 and 90103. First we will calculate the prime factors of 90090 and 90103.

Prime Factorization of 90090

Prime Factorization of 90103

Now multiplying the highest exponent prime factors to calculate the LCM of 90090 and 90103.

LCM(90090,90103) = 2¹ × 3² × 5¹ × 7¹ × 11¹ × 13¹ × 29¹ × 239¹
LCM(90090,90103) = 624413790