What is the Least Common Multiple of 63738 and 63745?

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 63738 and 63745 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63738 and 63745, than apply into the LCM equation.

GCF(63738,63745) = 1
LCM(63738,63745) = ( 63738 × 63745) / 1
LCM(63738,63745) = 4062978810 / 1
LCM(63738,63745) = 4062978810

Least Common Multiple (LCM) of 63738 and 63745 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63738 and 63745. First we will calculate the prime factors of 63738 and 63745.

Prime Factorization of 63738

Prime Factorization of 63745

Now multiplying the highest exponent prime factors to calculate the LCM of 63738 and 63745.

LCM(63738,63745) = 2¹ × 3² × 3541¹ × 5¹ × 11¹ × 19¹ × 61¹
LCM(63738,63745) = 4062978810