What is the Least Common Multiple of 18960 and 18978?

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 18978 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 18978, than apply into the LCM equation.

GCF(18960,18978) = 6
LCM(18960,18978) = ( 18960 × 18978) / 6
LCM(18960,18978) = 359822880 / 6
LCM(18960,18978) = 59970480

Least Common Multiple (LCM) of 18960 and 18978 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18960 and 18978. First we will calculate the prime factors of 18960 and 18978.

Prime Factorization of 18960

Prime Factorization of 18978

Now multiplying the highest exponent prime factors to calculate the LCM of 18960 and 18978.

LCM(18960,18978) = 2⁴ × 3¹ × 5¹ × 79¹ × 3163¹
LCM(18960,18978) = 59970480