What is the Least Common Multiple of 18960 and 18964?

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 18960 and 18964 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18960 and 18964, than apply into the LCM equation.

GCF(18960,18964) = 4
LCM(18960,18964) = ( 18960 × 18964) / 4
LCM(18960,18964) = 359557440 / 4
LCM(18960,18964) = 89889360

Least Common Multiple (LCM) of 18960 and 18964 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18960 and 18964. First we will calculate the prime factors of 18960 and 18964.

Prime Factorization of 18960

Prime Factorization of 18964

Now multiplying the highest exponent prime factors to calculate the LCM of 18960 and 18964.

LCM(18960,18964) = 2⁴ × 3¹ × 5¹ × 79¹ × 11¹ × 431¹
LCM(18960,18964) = 89889360