What is the Least Common Multiple of 63514 and 63534?

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 63514 and 63534 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63514 and 63534, than apply into the LCM equation.

GCF(63514,63534) = 2
LCM(63514,63534) = ( 63514 × 63534) / 2
LCM(63514,63534) = 4035298476 / 2
LCM(63514,63534) = 2017649238

Least Common Multiple (LCM) of 63514 and 63534 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63514 and 63534. First we will calculate the prime factors of 63514 and 63534.

Prime Factorization of 63514

Prime Factorization of 63534

Now multiplying the highest exponent prime factors to calculate the LCM of 63514 and 63534.

LCM(63514,63534) = 2¹ × 11¹ × 2887¹ × 3¹ × 10589¹
LCM(63514,63534) = 2017649238