What is the Least Common Multiple of 63914 and 63926?

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 63914 and 63926 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63914 and 63926, than apply into the LCM equation.

GCF(63914,63926) = 2
LCM(63914,63926) = ( 63914 × 63926) / 2
LCM(63914,63926) = 4085766364 / 2
LCM(63914,63926) = 2042883182

Least Common Multiple (LCM) of 63914 and 63926 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63914 and 63926. First we will calculate the prime factors of 63914 and 63926.

Prime Factorization of 63914

Prime Factorization of 63926

Now multiplying the highest exponent prime factors to calculate the LCM of 63914 and 63926.

LCM(63914,63926) = 2¹ × 31957¹ × 31963¹
LCM(63914,63926) = 2042883182