What is the Least Common Multiple of 97445 and 97451?

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 97445 and 97451 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97445 and 97451, than apply into the LCM equation.

GCF(97445,97451) = 1
LCM(97445,97451) = ( 97445 × 97451) / 1
LCM(97445,97451) = 9496112695 / 1
LCM(97445,97451) = 9496112695

Least Common Multiple (LCM) of 97445 and 97451 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97445 and 97451. First we will calculate the prime factors of 97445 and 97451.

Prime Factorization of 97445

Prime Factorization of 97451

Now multiplying the highest exponent prime factors to calculate the LCM of 97445 and 97451.

LCM(97445,97451) = 5¹ × 19489¹ × 19¹ × 23¹ × 223¹
LCM(97445,97451) = 9496112695