What is the Least Common Multiple of 90030 and 90049?

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 90030 and 90049 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90030 and 90049, than apply into the LCM equation.

GCF(90030,90049) = 1
LCM(90030,90049) = ( 90030 × 90049) / 1
LCM(90030,90049) = 8107111470 / 1
LCM(90030,90049) = 8107111470

Least Common Multiple (LCM) of 90030 and 90049 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90030 and 90049. First we will calculate the prime factors of 90030 and 90049.

Prime Factorization of 90030

Prime Factorization of 90049

Now multiplying the highest exponent prime factors to calculate the LCM of 90030 and 90049.

LCM(90030,90049) = 2¹ × 3¹ × 5¹ × 3001¹ × 17¹ × 5297¹
LCM(90030,90049) = 8107111470