What is the Least Common Multiple of 77056 and 77074?

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 77056 and 77074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77056 and 77074, than apply into the LCM equation.

GCF(77056,77074) = 2
LCM(77056,77074) = ( 77056 × 77074) / 2
LCM(77056,77074) = 5939014144 / 2
LCM(77056,77074) = 2969507072

Least Common Multiple (LCM) of 77056 and 77074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77056 and 77074. First we will calculate the prime factors of 77056 and 77074.

Prime Factorization of 77056

Prime Factorization of 77074

Now multiplying the highest exponent prime factors to calculate the LCM of 77056 and 77074.

LCM(77056,77074) = 2⁸ × 7¹ × 43¹ × 89¹ × 433¹
LCM(77056,77074) = 2969507072