What is the Least Common Multiple of 67440 and 67458?

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 67440 and 67458 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67440 and 67458, than apply into the LCM equation.

GCF(67440,67458) = 6
LCM(67440,67458) = ( 67440 × 67458) / 6
LCM(67440,67458) = 4549367520 / 6
LCM(67440,67458) = 758227920

Least Common Multiple (LCM) of 67440 and 67458 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67440 and 67458. First we will calculate the prime factors of 67440 and 67458.

Prime Factorization of 67440

Prime Factorization of 67458

Now multiplying the highest exponent prime factors to calculate the LCM of 67440 and 67458.

LCM(67440,67458) = 2⁴ × 3¹ × 5¹ × 281¹ × 11243¹
LCM(67440,67458) = 758227920