What is the Least Common Multiple of 97005 and 97021?

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 97005 and 97021 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97005 and 97021, than apply into the LCM equation.

GCF(97005,97021) = 1
LCM(97005,97021) = ( 97005 × 97021) / 1
LCM(97005,97021) = 9411522105 / 1
LCM(97005,97021) = 9411522105

Least Common Multiple (LCM) of 97005 and 97021 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97005 and 97021. First we will calculate the prime factors of 97005 and 97021.

Prime Factorization of 97005

Prime Factorization of 97021

Now multiplying the highest exponent prime factors to calculate the LCM of 97005 and 97021.

LCM(97005,97021) = 3¹ × 5¹ × 29¹ × 223¹ × 97021¹
LCM(97005,97021) = 9411522105