What is the Least Common Multiple of 31696 and 31710?

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 31696 and 31710 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31696 and 31710, than apply into the LCM equation.

GCF(31696,31710) = 14
LCM(31696,31710) = ( 31696 × 31710) / 14
LCM(31696,31710) = 1005080160 / 14
LCM(31696,31710) = 71791440

Least Common Multiple (LCM) of 31696 and 31710 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31696 and 31710. First we will calculate the prime factors of 31696 and 31710.

Prime Factorization of 31696

Prime Factorization of 31710

Now multiplying the highest exponent prime factors to calculate the LCM of 31696 and 31710.

LCM(31696,31710) = 2⁴ × 7¹ × 283¹ × 3¹ × 5¹ × 151¹
LCM(31696,31710) = 71791440