What is the Least Common Multiple of 97664 and 97671?

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 97664 and 97671 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97664 and 97671, than apply into the LCM equation.

GCF(97664,97671) = 7
LCM(97664,97671) = ( 97664 × 97671) / 7
LCM(97664,97671) = 9538940544 / 7
LCM(97664,97671) = 1362705792

Least Common Multiple (LCM) of 97664 and 97671 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97664 and 97671. First we will calculate the prime factors of 97664 and 97671.

Prime Factorization of 97664

Prime Factorization of 97671

Now multiplying the highest exponent prime factors to calculate the LCM of 97664 and 97671.

LCM(97664,97671) = 2⁷ × 7¹ × 109¹ × 3¹ × 4651¹
LCM(97664,97671) = 1362705792