What is the Least Common Multiple of 67642 and 67656?

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 67642 and 67656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67642 and 67656, than apply into the LCM equation.

GCF(67642,67656) = 2
LCM(67642,67656) = ( 67642 × 67656) / 2
LCM(67642,67656) = 4576387152 / 2
LCM(67642,67656) = 2288193576

Least Common Multiple (LCM) of 67642 and 67656 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67642 and 67656. First we will calculate the prime factors of 67642 and 67656.

Prime Factorization of 67642

Prime Factorization of 67656

Now multiplying the highest exponent prime factors to calculate the LCM of 67642 and 67656.

LCM(67642,67656) = 2³ × 31¹ × 1091¹ × 3¹ × 2819¹
LCM(67642,67656) = 2288193576