What is the Least Common Multiple of 97908 and 97914?

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 97908 and 97914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97908 and 97914, than apply into the LCM equation.

GCF(97908,97914) = 6
LCM(97908,97914) = ( 97908 × 97914) / 6
LCM(97908,97914) = 9586563912 / 6
LCM(97908,97914) = 1597760652

Least Common Multiple (LCM) of 97908 and 97914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97908 and 97914. First we will calculate the prime factors of 97908 and 97914.

Prime Factorization of 97908

Prime Factorization of 97914

Now multiplying the highest exponent prime factors to calculate the LCM of 97908 and 97914.

LCM(97908,97914) = 2² × 3¹ × 41¹ × 199¹ × 16319¹
LCM(97908,97914) = 1597760652