What is the Least Common Multiple of 67488 and 67494?

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 67494 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 67494, than apply into the LCM equation.

GCF(67488,67494) = 6
LCM(67488,67494) = ( 67488 × 67494) / 6
LCM(67488,67494) = 4555035072 / 6
LCM(67488,67494) = 759172512

Least Common Multiple (LCM) of 67488 and 67494 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67488 and 67494. First we will calculate the prime factors of 67488 and 67494.

Prime Factorization of 67488

Prime Factorization of 67494

Now multiplying the highest exponent prime factors to calculate the LCM of 67488 and 67494.

LCM(67488,67494) = 2⁵ × 3¹ × 19¹ × 37¹ × 7¹ × 1607¹
LCM(67488,67494) = 759172512