What is the Least Common Multiple of 67030 and 67040?

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 67030 and 67040 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67030 and 67040, than apply into the LCM equation.

GCF(67030,67040) = 10
LCM(67030,67040) = ( 67030 × 67040) / 10
LCM(67030,67040) = 4493691200 / 10
LCM(67030,67040) = 449369120

Least Common Multiple (LCM) of 67030 and 67040 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67030 and 67040. First we will calculate the prime factors of 67030 and 67040.

Prime Factorization of 67030

Prime Factorization of 67040

Now multiplying the highest exponent prime factors to calculate the LCM of 67030 and 67040.

LCM(67030,67040) = 2⁵ × 5¹ × 6703¹ × 419¹
LCM(67030,67040) = 449369120