What is the Least Common Multiple of 90942 and 90960?

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 90942 and 90960 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90942 and 90960, than apply into the LCM equation.

GCF(90942,90960) = 6
LCM(90942,90960) = ( 90942 × 90960) / 6
LCM(90942,90960) = 8272084320 / 6
LCM(90942,90960) = 1378680720

Least Common Multiple (LCM) of 90942 and 90960 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90942 and 90960. First we will calculate the prime factors of 90942 and 90960.

Prime Factorization of 90942

Prime Factorization of 90960

Now multiplying the highest exponent prime factors to calculate the LCM of 90942 and 90960.

LCM(90942,90960) = 2⁴ × 3¹ × 23¹ × 659¹ × 5¹ × 379¹
LCM(90942,90960) = 1378680720