What is the Least Common Multiple of 63538 and 63546?

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 63538 and 63546 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63538 and 63546, than apply into the LCM equation.

GCF(63538,63546) = 2
LCM(63538,63546) = ( 63538 × 63546) / 2
LCM(63538,63546) = 4037585748 / 2
LCM(63538,63546) = 2018792874

Least Common Multiple (LCM) of 63538 and 63546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63538 and 63546. First we will calculate the prime factors of 63538 and 63546.

Prime Factorization of 63538

Prime Factorization of 63546

Now multiplying the highest exponent prime factors to calculate the LCM of 63538 and 63546.

LCM(63538,63546) = 2¹ × 31769¹ × 3¹ × 7¹ × 17¹ × 89¹
LCM(63538,63546) = 2018792874