What is the Least Common Multiple of 63019 and 63029?

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 63019 and 63029 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63019 and 63029, than apply into the LCM equation.

GCF(63019,63029) = 1
LCM(63019,63029) = ( 63019 × 63029) / 1
LCM(63019,63029) = 3972024551 / 1
LCM(63019,63029) = 3972024551

Least Common Multiple (LCM) of 63019 and 63029 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63019 and 63029. First we will calculate the prime factors of 63019 and 63029.

Prime Factorization of 63019

Prime Factorization of 63029

Now multiplying the highest exponent prime factors to calculate the LCM of 63019 and 63029.

LCM(63019,63029) = 11¹ × 17¹ × 337¹ × 63029¹
LCM(63019,63029) = 3972024551