What is the Least Common Multiple of 63715 and 63729?

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 63715 and 63729 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63715 and 63729, than apply into the LCM equation.

GCF(63715,63729) = 1
LCM(63715,63729) = ( 63715 × 63729) / 1
LCM(63715,63729) = 4060493235 / 1
LCM(63715,63729) = 4060493235

Least Common Multiple (LCM) of 63715 and 63729 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63715 and 63729. First we will calculate the prime factors of 63715 and 63729.

Prime Factorization of 63715

Prime Factorization of 63729

Now multiplying the highest exponent prime factors to calculate the LCM of 63715 and 63729.

LCM(63715,63729) = 5¹ × 12743¹ × 3² × 73¹ × 97¹
LCM(63715,63729) = 4060493235