What is the Least Common Multiple of 97656 and 97664?

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 97656 and 97664 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97656 and 97664, than apply into the LCM equation.

GCF(97656,97664) = 8
LCM(97656,97664) = ( 97656 × 97664) / 8
LCM(97656,97664) = 9537475584 / 8
LCM(97656,97664) = 1192184448

Least Common Multiple (LCM) of 97656 and 97664 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97656 and 97664. First we will calculate the prime factors of 97656 and 97664.

Prime Factorization of 97656

Prime Factorization of 97664

Now multiplying the highest exponent prime factors to calculate the LCM of 97656 and 97664.

LCM(97656,97664) = 2⁷ × 3¹ × 13¹ × 313¹ × 7¹ × 109¹
LCM(97656,97664) = 1192184448