What is the Least Common Multiple of 67020 and 67029?

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 67020 and 67029 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67020 and 67029, than apply into the LCM equation.

GCF(67020,67029) = 3
LCM(67020,67029) = ( 67020 × 67029) / 3
LCM(67020,67029) = 4492283580 / 3
LCM(67020,67029) = 1497427860

Least Common Multiple (LCM) of 67020 and 67029 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67020 and 67029. First we will calculate the prime factors of 67020 and 67029.

Prime Factorization of 67020

Prime Factorization of 67029

Now multiplying the highest exponent prime factors to calculate the LCM of 67020 and 67029.

LCM(67020,67029) = 2² × 3¹ × 5¹ × 1117¹ × 22343¹
LCM(67020,67029) = 1497427860