What is the Least Common Multiple of 77208 and 77213?

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 77208 and 77213 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77208 and 77213, than apply into the LCM equation.

GCF(77208,77213) = 1
LCM(77208,77213) = ( 77208 × 77213) / 1
LCM(77208,77213) = 5961461304 / 1
LCM(77208,77213) = 5961461304

Least Common Multiple (LCM) of 77208 and 77213 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77208 and 77213. First we will calculate the prime factors of 77208 and 77213.

Prime Factorization of 77208

Prime Factorization of 77213

Now multiplying the highest exponent prime factors to calculate the LCM of 77208 and 77213.

LCM(77208,77213) = 2³ × 3¹ × 3217¹ × 77213¹
LCM(77208,77213) = 5961461304