What is the Least Common Multiple of 63742 and 63749?

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 63742 and 63749 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63742 and 63749, than apply into the LCM equation.

GCF(63742,63749) = 7
LCM(63742,63749) = ( 63742 × 63749) / 7
LCM(63742,63749) = 4063488758 / 7
LCM(63742,63749) = 580498394

Least Common Multiple (LCM) of 63742 and 63749 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63742 and 63749. First we will calculate the prime factors of 63742 and 63749.

Prime Factorization of 63742

Prime Factorization of 63749

Now multiplying the highest exponent prime factors to calculate the LCM of 63742 and 63749.

LCM(63742,63749) = 2¹ × 7² × 29¹ × 157¹ × 1301¹
LCM(63742,63749) = 580498394