What is the Least Common Multiple of 97678 and 97691?

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 97691 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 97691, than apply into the LCM equation.

GCF(97678,97691) = 1
LCM(97678,97691) = ( 97678 × 97691) / 1
LCM(97678,97691) = 9542261498 / 1
LCM(97678,97691) = 9542261498

Least Common Multiple (LCM) of 97678 and 97691 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97678 and 97691. First we will calculate the prime factors of 97678 and 97691.

Prime Factorization of 97678

Prime Factorization of 97691

Now multiplying the highest exponent prime factors to calculate the LCM of 97678 and 97691.

LCM(97678,97691) = 2¹ × 7¹ × 6977¹ × 11¹ × 83¹ × 107¹
LCM(97678,97691) = 9542261498