What is the Least Common Multiple of 97563 and 97579?

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 97563 and 97579 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97563 and 97579, than apply into the LCM equation.

GCF(97563,97579) = 1
LCM(97563,97579) = ( 97563 × 97579) / 1
LCM(97563,97579) = 9520099977 / 1
LCM(97563,97579) = 9520099977

Least Common Multiple (LCM) of 97563 and 97579 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97563 and 97579. First we will calculate the prime factors of 97563 and 97579.

Prime Factorization of 97563

Prime Factorization of 97579

Now multiplying the highest exponent prime factors to calculate the LCM of 97563 and 97579.

LCM(97563,97579) = 3¹ × 17¹ × 1913¹ × 97579¹
LCM(97563,97579) = 9520099977