What is the Least Common Multiple of 63874 and 63890?

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 63874 and 63890 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63874 and 63890, than apply into the LCM equation.

GCF(63874,63890) = 2
LCM(63874,63890) = ( 63874 × 63890) / 2
LCM(63874,63890) = 4080909860 / 2
LCM(63874,63890) = 2040454930

Least Common Multiple (LCM) of 63874 and 63890 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63874 and 63890. First we will calculate the prime factors of 63874 and 63890.

Prime Factorization of 63874

Prime Factorization of 63890

Now multiplying the highest exponent prime factors to calculate the LCM of 63874 and 63890.

LCM(63874,63890) = 2¹ × 109¹ × 293¹ × 5¹ × 6389¹
LCM(63874,63890) = 2040454930