What is the Least Common Multiple of 63415 and 63419?

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 63415 and 63419 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63415 and 63419, than apply into the LCM equation.

GCF(63415,63419) = 1
LCM(63415,63419) = ( 63415 × 63419) / 1
LCM(63415,63419) = 4021715885 / 1
LCM(63415,63419) = 4021715885

Least Common Multiple (LCM) of 63415 and 63419 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63415 and 63419. First we will calculate the prime factors of 63415 and 63419.

Prime Factorization of 63415

Prime Factorization of 63419

Now multiplying the highest exponent prime factors to calculate the LCM of 63415 and 63419.

LCM(63415,63419) = 5¹ × 11¹ × 1153¹ × 63419¹
LCM(63415,63419) = 4021715885