What is the Least Common Multiple of 77410 and 77415?

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 77410 and 77415 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77410 and 77415, than apply into the LCM equation.

GCF(77410,77415) = 5
LCM(77410,77415) = ( 77410 × 77415) / 5
LCM(77410,77415) = 5992695150 / 5
LCM(77410,77415) = 1198539030

Least Common Multiple (LCM) of 77410 and 77415 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77410 and 77415. First we will calculate the prime factors of 77410 and 77415.

Prime Factorization of 77410

Prime Factorization of 77415

Now multiplying the highest exponent prime factors to calculate the LCM of 77410 and 77415.

LCM(77410,77415) = 2¹ × 5¹ × 7741¹ × 3¹ × 13¹ × 397¹
LCM(77410,77415) = 1198539030