What is the Least Common Multiple of 67706 and 67726?

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 67706 and 67726 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67706 and 67726, than apply into the LCM equation.

GCF(67706,67726) = 2
LCM(67706,67726) = ( 67706 × 67726) / 2
LCM(67706,67726) = 4585456556 / 2
LCM(67706,67726) = 2292728278

Least Common Multiple (LCM) of 67706 and 67726 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67706 and 67726. First we will calculate the prime factors of 67706 and 67726.

Prime Factorization of 67706

Prime Factorization of 67726

Now multiplying the highest exponent prime factors to calculate the LCM of 67706 and 67726.

LCM(67706,67726) = 2¹ × 97¹ × 349¹ × 33863¹
LCM(67706,67726) = 2292728278