What is the Least Common Multiple of 63714 and 63722?

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 63714 and 63722 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63714 and 63722, than apply into the LCM equation.

GCF(63714,63722) = 2
LCM(63714,63722) = ( 63714 × 63722) / 2
LCM(63714,63722) = 4059983508 / 2
LCM(63714,63722) = 2029991754

Least Common Multiple (LCM) of 63714 and 63722 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63714 and 63722. First we will calculate the prime factors of 63714 and 63722.

Prime Factorization of 63714

Prime Factorization of 63722

Now multiplying the highest exponent prime factors to calculate the LCM of 63714 and 63722.

LCM(63714,63722) = 2¹ × 3¹ × 7¹ × 37¹ × 41¹ × 151¹ × 211¹
LCM(63714,63722) = 2029991754