What is the Least Common Multiple of 77038 and 77056?

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 77038 and 77056 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77038 and 77056, than apply into the LCM equation.

GCF(77038,77056) = 2
LCM(77038,77056) = ( 77038 × 77056) / 2
LCM(77038,77056) = 5936240128 / 2
LCM(77038,77056) = 2968120064

Least Common Multiple (LCM) of 77038 and 77056 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77038 and 77056. First we will calculate the prime factors of 77038 and 77056.

Prime Factorization of 77038

Prime Factorization of 77056

Now multiplying the highest exponent prime factors to calculate the LCM of 77038 and 77056.

LCM(77038,77056) = 2⁸ × 13¹ × 2963¹ × 7¹ × 43¹
LCM(77038,77056) = 2968120064