What is the Least Common Multiple of 97458 and 97473?

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 97458 and 97473 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97458 and 97473, than apply into the LCM equation.

GCF(97458,97473) = 3
LCM(97458,97473) = ( 97458 × 97473) / 3
LCM(97458,97473) = 9499523634 / 3
LCM(97458,97473) = 3166507878

Least Common Multiple (LCM) of 97458 and 97473 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97458 and 97473. First we will calculate the prime factors of 97458 and 97473.

Prime Factorization of 97458

Prime Factorization of 97473

Now multiplying the highest exponent prime factors to calculate the LCM of 97458 and 97473.

LCM(97458,97473) = 2¹ × 3¹ × 37¹ × 439¹ × 32491¹
LCM(97458,97473) = 3166507878