What is the Least Common Multiple of 63711 and 63719?

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 63711 and 63719 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63711 and 63719, than apply into the LCM equation.

GCF(63711,63719) = 1
LCM(63711,63719) = ( 63711 × 63719) / 1
LCM(63711,63719) = 4059601209 / 1
LCM(63711,63719) = 4059601209

Least Common Multiple (LCM) of 63711 and 63719 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63711 and 63719. First we will calculate the prime factors of 63711 and 63719.

Prime Factorization of 63711

Prime Factorization of 63719

Now multiplying the highest exponent prime factors to calculate the LCM of 63711 and 63719.

LCM(63711,63719) = 3² × 7079¹ × 63719¹
LCM(63711,63719) = 4059601209