What is the Least Common Multiple of 63605 and 63619?

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 63605 and 63619 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63605 and 63619, than apply into the LCM equation.

GCF(63605,63619) = 1
LCM(63605,63619) = ( 63605 × 63619) / 1
LCM(63605,63619) = 4046486495 / 1
LCM(63605,63619) = 4046486495

Least Common Multiple (LCM) of 63605 and 63619 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63605 and 63619. First we will calculate the prime factors of 63605 and 63619.

Prime Factorization of 63605

Prime Factorization of 63619

Now multiplying the highest exponent prime factors to calculate the LCM of 63605 and 63619.

LCM(63605,63619) = 5¹ × 12721¹ × 113¹ × 563¹
LCM(63605,63619) = 4046486495