What is the Least Common Multiple of 90038 and 90042?

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 90038 and 90042 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90038 and 90042, than apply into the LCM equation.

GCF(90038,90042) = 2
LCM(90038,90042) = ( 90038 × 90042) / 2
LCM(90038,90042) = 8107201596 / 2
LCM(90038,90042) = 4053600798

Least Common Multiple (LCM) of 90038 and 90042 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90038 and 90042. First we will calculate the prime factors of 90038 and 90042.

Prime Factorization of 90038

Prime Factorization of 90042

Now multiplying the highest exponent prime factors to calculate the LCM of 90038 and 90042.

LCM(90038,90042) = 2¹ × 13¹ × 3463¹ × 3¹ × 43¹ × 349¹
LCM(90038,90042) = 4053600798