What is the Least Common Multiple of 67488 and 67497?

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 67488 and 67497 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67488 and 67497, than apply into the LCM equation.

GCF(67488,67497) = 3
LCM(67488,67497) = ( 67488 × 67497) / 3
LCM(67488,67497) = 4555237536 / 3
LCM(67488,67497) = 1518412512

Least Common Multiple (LCM) of 67488 and 67497 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67488 and 67497. First we will calculate the prime factors of 67488 and 67497.

Prime Factorization of 67488

Prime Factorization of 67497

Now multiplying the highest exponent prime factors to calculate the LCM of 67488 and 67497.

LCM(67488,67497) = 2⁵ × 3¹ × 19¹ × 37¹ × 149¹ × 151¹
LCM(67488,67497) = 1518412512