What is the Least Common Multiple of 77203 and 77220?

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 77203 and 77220 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77203 and 77220, than apply into the LCM equation.

GCF(77203,77220) = 1
LCM(77203,77220) = ( 77203 × 77220) / 1
LCM(77203,77220) = 5961615660 / 1
LCM(77203,77220) = 5961615660

Least Common Multiple (LCM) of 77203 and 77220 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77203 and 77220. First we will calculate the prime factors of 77203 and 77220.

Prime Factorization of 77203

Prime Factorization of 77220

Now multiplying the highest exponent prime factors to calculate the LCM of 77203 and 77220.

LCM(77203,77220) = 7¹ × 41¹ × 269¹ × 2² × 3³ × 5¹ × 11¹ × 13¹
LCM(77203,77220) = 5961615660