What is the Least Common Multiple of 68714 and 68732?

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 68714 and 68732 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68714 and 68732, than apply into the LCM equation.

GCF(68714,68732) = 2
LCM(68714,68732) = ( 68714 × 68732) / 2
LCM(68714,68732) = 4722850648 / 2
LCM(68714,68732) = 2361425324

Least Common Multiple (LCM) of 68714 and 68732 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68714 and 68732. First we will calculate the prime factors of 68714 and 68732.

Prime Factorization of 68714

Prime Factorization of 68732

Now multiplying the highest exponent prime factors to calculate the LCM of 68714 and 68732.

LCM(68714,68732) = 2² × 17¹ × 43¹ × 47¹ × 17183¹
LCM(68714,68732) = 2361425324