What is the Least Common Multiple of 90374 and 90382?

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 90374 and 90382 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90374 and 90382, than apply into the LCM equation.

GCF(90374,90382) = 2
LCM(90374,90382) = ( 90374 × 90382) / 2
LCM(90374,90382) = 8168182868 / 2
LCM(90374,90382) = 4084091434

Least Common Multiple (LCM) of 90374 and 90382 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90374 and 90382. First we will calculate the prime factors of 90374 and 90382.

Prime Factorization of 90374

Prime Factorization of 90382

Now multiplying the highest exponent prime factors to calculate the LCM of 90374 and 90382.

LCM(90374,90382) = 2¹ × 73¹ × 619¹ × 45191¹
LCM(90374,90382) = 4084091434