What is the Least Common Multiple of 63734 and 63748?

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 63734 and 63748 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63734 and 63748, than apply into the LCM equation.

GCF(63734,63748) = 2
LCM(63734,63748) = ( 63734 × 63748) / 2
LCM(63734,63748) = 4062915032 / 2
LCM(63734,63748) = 2031457516

Least Common Multiple (LCM) of 63734 and 63748 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63734 and 63748. First we will calculate the prime factors of 63734 and 63748.

Prime Factorization of 63734

Prime Factorization of 63748

Now multiplying the highest exponent prime factors to calculate the LCM of 63734 and 63748.

LCM(63734,63748) = 2² × 11¹ × 2897¹ × 15937¹
LCM(63734,63748) = 2031457516