What is the Least Common Multiple of 63520 and 63538?

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 63520 and 63538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63520 and 63538, than apply into the LCM equation.

GCF(63520,63538) = 2
LCM(63520,63538) = ( 63520 × 63538) / 2
LCM(63520,63538) = 4035933760 / 2
LCM(63520,63538) = 2017966880

Least Common Multiple (LCM) of 63520 and 63538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63520 and 63538. First we will calculate the prime factors of 63520 and 63538.

Prime Factorization of 63520

Prime Factorization of 63538

Now multiplying the highest exponent prime factors to calculate the LCM of 63520 and 63538.

LCM(63520,63538) = 2⁵ × 5¹ × 397¹ × 31769¹
LCM(63520,63538) = 2017966880