What is the Least Common Multiple of 77398 and 77410?

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 77410 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 77410, than apply into the LCM equation.

GCF(77398,77410) = 2
LCM(77398,77410) = ( 77398 × 77410) / 2
LCM(77398,77410) = 5991379180 / 2
LCM(77398,77410) = 2995689590

Least Common Multiple (LCM) of 77398 and 77410 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77398 and 77410. First we will calculate the prime factors of 77398 and 77410.

Prime Factorization of 77398

Prime Factorization of 77410

Now multiplying the highest exponent prime factors to calculate the LCM of 77398 and 77410.

LCM(77398,77410) = 2¹ × 38699¹ × 5¹ × 7741¹
LCM(77398,77410) = 2995689590