What is the Least Common Multiple of 90960 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 90960 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 90960 and 90965, than apply into the LCM equation.

GCF(90960,90965) = 5
LCM(90960,90965) = ( 90960 × 90965) / 5
LCM(90960,90965) = 8274176400 / 5
LCM(90960,90965) = 1654835280

Least Common Multiple (LCM) of 90960 and 90965 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90960 and 90965. First we will calculate the prime factors of 90960 and 90965.

Prime Factorization of 90960

Prime Factorization of 90965

Now multiplying the highest exponent prime factors to calculate the LCM of 90960 and 90965.

LCM(90960,90965) = 2⁴ × 3¹ × 5¹ × 379¹ × 7¹ × 23¹ × 113¹
LCM(90960,90965) = 1654835280