What is the Least Common Multiple of 97664 and 97670?

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 97670 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 97670, than apply into the LCM equation.

GCF(97664,97670) = 2
LCM(97664,97670) = ( 97664 × 97670) / 2
LCM(97664,97670) = 9538842880 / 2
LCM(97664,97670) = 4769421440

Least Common Multiple (LCM) of 97664 and 97670 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97664 and 97670. First we will calculate the prime factors of 97664 and 97670.

Prime Factorization of 97664

Prime Factorization of 97670

Now multiplying the highest exponent prime factors to calculate the LCM of 97664 and 97670.

LCM(97664,97670) = 2⁷ × 7¹ × 109¹ × 5¹ × 9767¹
LCM(97664,97670) = 4769421440