What is the Least Common Multiple of 66120 and 66139?

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 66120 and 66139 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66120 and 66139, than apply into the LCM equation.

GCF(66120,66139) = 19
LCM(66120,66139) = ( 66120 × 66139) / 19
LCM(66120,66139) = 4373110680 / 19
LCM(66120,66139) = 230163720

Least Common Multiple (LCM) of 66120 and 66139 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66120 and 66139. First we will calculate the prime factors of 66120 and 66139.

Prime Factorization of 66120

Prime Factorization of 66139

Now multiplying the highest exponent prime factors to calculate the LCM of 66120 and 66139.

LCM(66120,66139) = 2³ × 3¹ × 5¹ × 19¹ × 29¹ × 59²
LCM(66120,66139) = 230163720