What is the Least Common Multiple of 97661 and 97673?

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 97661 and 97673 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97661 and 97673, than apply into the LCM equation.

GCF(97661,97673) = 1
LCM(97661,97673) = ( 97661 × 97673) / 1
LCM(97661,97673) = 9538842853 / 1
LCM(97661,97673) = 9538842853

Least Common Multiple (LCM) of 97661 and 97673 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97661 and 97673. First we will calculate the prime factors of 97661 and 97673.

Prime Factorization of 97661

Prime Factorization of 97673

Now multiplying the highest exponent prime factors to calculate the LCM of 97661 and 97673.

LCM(97661,97673) = 61¹ × 1601¹ × 97673¹
LCM(97661,97673) = 9538842853