What is the Least Common Multiple of 97650 and 97656?

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 97650 and 97656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97650 and 97656, than apply into the LCM equation.

GCF(97650,97656) = 6
LCM(97650,97656) = ( 97650 × 97656) / 6
LCM(97650,97656) = 9536108400 / 6
LCM(97650,97656) = 1589351400

Least Common Multiple (LCM) of 97650 and 97656 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97650 and 97656. First we will calculate the prime factors of 97650 and 97656.

Prime Factorization of 97650

Prime Factorization of 97656

Now multiplying the highest exponent prime factors to calculate the LCM of 97650 and 97656.

LCM(97650,97656) = 2³ × 3² × 5² × 7¹ × 31¹ × 13¹ × 313¹
LCM(97650,97656) = 1589351400