What is the Least Common Multiple of 97678 and 97686?

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 97678 and 97686 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97678 and 97686, than apply into the LCM equation.

GCF(97678,97686) = 2
LCM(97678,97686) = ( 97678 × 97686) / 2
LCM(97678,97686) = 9541773108 / 2
LCM(97678,97686) = 4770886554

Least Common Multiple (LCM) of 97678 and 97686 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97678 and 97686. First we will calculate the prime factors of 97678 and 97686.

Prime Factorization of 97678

Prime Factorization of 97686

Now multiplying the highest exponent prime factors to calculate the LCM of 97678 and 97686.

LCM(97678,97686) = 2¹ × 7¹ × 6977¹ × 3⁶ × 67¹
LCM(97678,97686) = 4770886554