What is the Least Common Multiple of 97488 and 97493?

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 97488 and 97493 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97488 and 97493, than apply into the LCM equation.

GCF(97488,97493) = 1
LCM(97488,97493) = ( 97488 × 97493) / 1
LCM(97488,97493) = 9504397584 / 1
LCM(97488,97493) = 9504397584

Least Common Multiple (LCM) of 97488 and 97493 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97488 and 97493. First we will calculate the prime factors of 97488 and 97493.

Prime Factorization of 97488

Prime Factorization of 97493

Now multiplying the highest exponent prime factors to calculate the LCM of 97488 and 97493.

LCM(97488,97493) = 2⁴ × 3² × 677¹ × 11¹ × 8863¹
LCM(97488,97493) = 9504397584