What is the Least Common Multiple of 77398 and 77407?

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 77398 and 77407 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77398 and 77407, than apply into the LCM equation.

GCF(77398,77407) = 1
LCM(77398,77407) = ( 77398 × 77407) / 1
LCM(77398,77407) = 5991146986 / 1
LCM(77398,77407) = 5991146986

Least Common Multiple (LCM) of 77398 and 77407 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77398 and 77407. First we will calculate the prime factors of 77398 and 77407.

Prime Factorization of 77398

Prime Factorization of 77407

Now multiplying the highest exponent prime factors to calculate the LCM of 77398 and 77407.

LCM(77398,77407) = 2¹ × 38699¹ × 11¹ × 31¹ × 227¹
LCM(77398,77407) = 5991146986