What is the Least Common Multiple of 77078 and 77092?

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 77078 and 77092 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77078 and 77092, than apply into the LCM equation.

GCF(77078,77092) = 2
LCM(77078,77092) = ( 77078 × 77092) / 2
LCM(77078,77092) = 5942097176 / 2
LCM(77078,77092) = 2971048588

Least Common Multiple (LCM) of 77078 and 77092 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77078 and 77092. First we will calculate the prime factors of 77078 and 77092.

Prime Factorization of 77078

Prime Factorization of 77092

Now multiplying the highest exponent prime factors to calculate the LCM of 77078 and 77092.

LCM(77078,77092) = 2² × 17¹ × 2267¹ × 19273¹
LCM(77078,77092) = 2971048588