What is the Least Common Multiple of 63074 and 63079?

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 63074 and 63079 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63074 and 63079, than apply into the LCM equation.

GCF(63074,63079) = 1
LCM(63074,63079) = ( 63074 × 63079) / 1
LCM(63074,63079) = 3978644846 / 1
LCM(63074,63079) = 3978644846

Least Common Multiple (LCM) of 63074 and 63079 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63074 and 63079. First we will calculate the prime factors of 63074 and 63079.

Prime Factorization of 63074

Prime Factorization of 63079

Now multiplying the highest exponent prime factors to calculate the LCM of 63074 and 63079.

LCM(63074,63079) = 2¹ × 11¹ × 47¹ × 61¹ × 63079¹
LCM(63074,63079) = 3978644846