What is the Least Common Multiple of 97495 and 97511?

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 97495 and 97511 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97495 and 97511, than apply into the LCM equation.

GCF(97495,97511) = 1
LCM(97495,97511) = ( 97495 × 97511) / 1
LCM(97495,97511) = 9506834945 / 1
LCM(97495,97511) = 9506834945

Least Common Multiple (LCM) of 97495 and 97511 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97495 and 97511. First we will calculate the prime factors of 97495 and 97511.

Prime Factorization of 97495

Prime Factorization of 97511

Now multiplying the highest exponent prime factors to calculate the LCM of 97495 and 97511.

LCM(97495,97511) = 5¹ × 17¹ × 31¹ × 37¹ × 97511¹
LCM(97495,97511) = 9506834945