What is the Least Common Multiple of 68714 and 68726?

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 68726 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 68726, than apply into the LCM equation.

GCF(68714,68726) = 2
LCM(68714,68726) = ( 68714 × 68726) / 2
LCM(68714,68726) = 4722438364 / 2
LCM(68714,68726) = 2361219182

Least Common Multiple (LCM) of 68714 and 68726 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68714 and 68726. First we will calculate the prime factors of 68714 and 68726.

Prime Factorization of 68714

Prime Factorization of 68726

Now multiplying the highest exponent prime factors to calculate the LCM of 68714 and 68726.

LCM(68714,68726) = 2¹ × 17¹ × 43¹ × 47¹ × 7¹ × 4909¹
LCM(68714,68726) = 2361219182