What is the Least Common Multiple of 97400 and 97416?

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 97400 and 97416 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97400 and 97416, than apply into the LCM equation.

GCF(97400,97416) = 8
LCM(97400,97416) = ( 97400 × 97416) / 8
LCM(97400,97416) = 9488318400 / 8
LCM(97400,97416) = 1186039800

Least Common Multiple (LCM) of 97400 and 97416 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97400 and 97416. First we will calculate the prime factors of 97400 and 97416.

Prime Factorization of 97400

Prime Factorization of 97416

Now multiplying the highest exponent prime factors to calculate the LCM of 97400 and 97416.

LCM(97400,97416) = 2³ × 5² × 487¹ × 3³ × 11¹ × 41¹
LCM(97400,97416) = 1186039800