What is the Least Common Multiple of 90958 and 90965?

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 90958 and 90965 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90958 and 90965, than apply into the LCM equation.

GCF(90958,90965) = 7
LCM(90958,90965) = ( 90958 × 90965) / 7
LCM(90958,90965) = 8273994470 / 7
LCM(90958,90965) = 1181999210

Least Common Multiple (LCM) of 90958 and 90965 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90958 and 90965. First we will calculate the prime factors of 90958 and 90965.

Prime Factorization of 90958

Prime Factorization of 90965

Now multiplying the highest exponent prime factors to calculate the LCM of 90958 and 90965.

LCM(90958,90965) = 2¹ × 7¹ × 73¹ × 89¹ × 5¹ × 23¹ × 113¹
LCM(90958,90965) = 1181999210