What is the Least Common Multiple of 63360 and 63374?

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 63360 and 63374 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63360 and 63374, than apply into the LCM equation.

GCF(63360,63374) = 2
LCM(63360,63374) = ( 63360 × 63374) / 2
LCM(63360,63374) = 4015376640 / 2
LCM(63360,63374) = 2007688320

Least Common Multiple (LCM) of 63360 and 63374 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63360 and 63374. First we will calculate the prime factors of 63360 and 63374.

Prime Factorization of 63360

Prime Factorization of 63374

Now multiplying the highest exponent prime factors to calculate the LCM of 63360 and 63374.

LCM(63360,63374) = 2⁷ × 3² × 5¹ × 11¹ × 31687¹
LCM(63360,63374) = 2007688320