What is the Least Common Multiple of 63914 and 63932?

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 63932 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 63932, than apply into the LCM equation.

GCF(63914,63932) = 2
LCM(63914,63932) = ( 63914 × 63932) / 2
LCM(63914,63932) = 4086149848 / 2
LCM(63914,63932) = 2043074924

Least Common Multiple (LCM) of 63914 and 63932 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63914 and 63932. First we will calculate the prime factors of 63914 and 63932.

Prime Factorization of 63914

Prime Factorization of 63932

Now multiplying the highest exponent prime factors to calculate the LCM of 63914 and 63932.

LCM(63914,63932) = 2² × 31957¹ × 11¹ × 1453¹
LCM(63914,63932) = 2043074924