What is the Least Common Multiple of 77420 and 77437?

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 77420 and 77437 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77420 and 77437, than apply into the LCM equation.

GCF(77420,77437) = 1
LCM(77420,77437) = ( 77420 × 77437) / 1
LCM(77420,77437) = 5995172540 / 1
LCM(77420,77437) = 5995172540

Least Common Multiple (LCM) of 77420 and 77437 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77420 and 77437. First we will calculate the prime factors of 77420 and 77437.

Prime Factorization of 77420

Prime Factorization of 77437

Now multiplying the highest exponent prime factors to calculate the LCM of 77420 and 77437.

LCM(77420,77437) = 2² × 5¹ × 7² × 79¹ × 211¹ × 367¹
LCM(77420,77437) = 5995172540