What is the Least Common Multiple of 63730 and 63742?

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 63730 and 63742 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63730 and 63742, than apply into the LCM equation.

GCF(63730,63742) = 2
LCM(63730,63742) = ( 63730 × 63742) / 2
LCM(63730,63742) = 4062277660 / 2
LCM(63730,63742) = 2031138830

Least Common Multiple (LCM) of 63730 and 63742 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63730 and 63742. First we will calculate the prime factors of 63730 and 63742.

Prime Factorization of 63730

Prime Factorization of 63742

Now multiplying the highest exponent prime factors to calculate the LCM of 63730 and 63742.

LCM(63730,63742) = 2¹ × 5¹ × 6373¹ × 7¹ × 29¹ × 157¹
LCM(63730,63742) = 2031138830