What is the Least Common Multiple of 63726 and 63739?

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 63726 and 63739 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63726 and 63739, than apply into the LCM equation.

GCF(63726,63739) = 13
LCM(63726,63739) = ( 63726 × 63739) / 13
LCM(63726,63739) = 4061831514 / 13
LCM(63726,63739) = 312448578

Least Common Multiple (LCM) of 63726 and 63739 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63726 and 63739. First we will calculate the prime factors of 63726 and 63739.

Prime Factorization of 63726

Prime Factorization of 63739

Now multiplying the highest exponent prime factors to calculate the LCM of 63726 and 63739.

LCM(63726,63739) = 2¹ × 3¹ × 13¹ × 19¹ × 43¹ × 4903¹
LCM(63726,63739) = 312448578